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	11620c	Isogeny class
Conductor	11620	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	326304	Modular degree for the optimal curve
Δ	-435897725840864000 = -1 · 28 · 53 · 711 · 832	Discriminant
Eigenvalues	2-  3 5+ 7+  3  3 -5 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-762088,-258030988]	[a1,a2,a3,a4,a6]
Generators	[421114000078184391684161682699:-12740864841956304016724576632087:276010712974810346358815991]	Generators of the group modulo torsion
j	-191204943430809083904/1702725491565875	j-invariant
L	7.4280994783629	L(r)(E,1)/r!
Ω	0.080749069327008	Real period
R	45.994954123134	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	46480q1 104580p1 58100i1 81340n1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11620c1

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
-	3	+	+	3	3	-5	-4	-6	-5	-6	4	-10	-10	-3	-14	-10	6	4	8	-2	-1	-	-12	13

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Quadratic twists for elliptic curve 11620c1

-4	-3	5	-7
46480q1	104580p1	58100i1	81340n1

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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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