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	1960g	Isogeny class
Conductor	1960	Conductor
∏ cp	56	Product of Tamagawa factors cp
deg	896	Modular degree for the optimal curve
Δ	-6860000000 = -1 · 28 · 57 · 73	Discriminant
Eigenvalues	2+ -1 5- 7-  3  1 -5 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,215,3725]	[a1,a2,a3,a4,a6]
Generators	[5:70:1]	Generators of the group modulo torsion
j	12459008/78125	j-invariant
L	2.694384185946	L(r)(E,1)/r!
Ω	0.96387220705161	Real period
R	0.049917409142485	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	3920j1 15680k1 17640cf1 9800bb1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1960g1

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	-	-	3	1	-5	-6	0	-5	2	-4	-2	10	-9	6	-6	-12	-2	0	-14	1	12	0	-9

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Quadratic twists for elliptic curve 1960g1

-4	8	-3	5	-7
3920j1	15680k1	17640cf1	9800bb1	1960c1

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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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