Cremona's table of elliptic curves

1960 = 2³ · 5 · 7²

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7-	Signs for the Atkin-Lehner involutions
Class	1960d	Isogeny class
Conductor	1960	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	11520	Modular degree for the optimal curve
Δ	-32282885600000 = -1 · 28 · 55 · 79	Discriminant
Eigenvalues	2+  3 5+ 7- -5  5  7  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-20188,-1137388]	[a1,a2,a3,a4,a6]
j	-30211716096/1071875	j-invariant
L	3.197509264888	L(r)(E,1)/r!
Ω	0.1998443290555	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	3920h1 15680bz1 17640cu1 9800bm1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1960d1

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	+	-	-5	5	7	2	-2	7	-4	-6	12	-2	-1	0	4	-4	8	0	-6	-3	4	0	-13

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Quadratic twists for elliptic curve 1960d1

-4	8	-3	5	-7
3920h1	15680bz1	17640cu1	9800bm1	280b1

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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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