Cremona's table of elliptic curves

11620 = 2² · 5 · 7 · 83

Field	Data	Notes
Atkin-Lehner	2- 5+ 7+ 83-	Signs for the Atkin-Lehner involutions
Class	11620b	Isogeny class
Conductor	11620	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	6477120	Modular degree for the optimal curve
Δ	-2.4926000032719E+23	Discriminant
Eigenvalues	2- -1 5+ 7+ -5 -3  3  6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-9734268741,-369657311298095]	[a1,a2,a3,a4,a6]
Generators	[9721138938401249155219315087341746602422896884460933960736:1412567972525684929154694788037586736439968440149378239705753:78503013016932994832454355094963963293430908266309409]	Generators of the group modulo torsion
j	-398468268581709081893430156918784/973671876278076171875	j-invariant
L	2.7354989191579	L(r)(E,1)/r!
Ω	0.0075996523543226	Real period
R	89.987633368582	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	46480n1 104580q1 58100f1 81340i1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11620b1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	-1	+	+	-5	-3	3	6	2	-1	-4	6	0	-6	-1	-12	4	8	8	8	10	1	-	0	11

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Quadratic twists for elliptic curve 11620b1

-4	-3	5	-7
46480n1	104580q1	58100f1	81340i1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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