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	1960k	Isogeny class
Conductor	1960	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	2688	Modular degree for the optimal curve
Δ	-1033052339200 = -1 · 210 · 52 · 79	Discriminant
Eigenvalues	2- -2 5+ 7-  4 -2  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,1944,-35456]	[a1,a2,a3,a4,a6]
Generators	[24:160:1]	Generators of the group modulo torsion
j	19652/25	j-invariant
L	2.0818748106236	L(r)(E,1)/r!
Ω	0.46827622072619	Real period
R	2.22291322779	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3920g1 15680bv1 17640bh1 9800i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1960k1

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
-	-2	+	-	4	-2	0	-2	-4	10	-4	-2	12	-4	-4	2	-10	-6	4	-12	4	-4	-14	-8	8

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Quadratic twists for elliptic curve 1960k1

-4	8	-3	5	-7
3920g1	15680bv1	17640bh1	9800i1	1960o1

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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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