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	1960i	Isogeny class
Conductor	1960	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	5040	Modular degree for the optimal curve
Δ	-36894726400000 = -1 · 211 · 55 · 78	Discriminant
Eigenvalues	2- -2 5+ 7+ -1 -3 -2 -5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-11776,568224]	[a1,a2,a3,a4,a6]
j	-15298178/3125	j-invariant
L	0.62273768880852	L(r)(E,1)/r!
Ω	0.62273768880852	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	3920c1 15680bi1 17640y1 9800b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1960i1

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	+	+	-1	-3	-2	-5	7	-6	4	-5	-5	6	-9	11	8	-12	-4	-4	12	14	-4	6	6

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Quadratic twists for elliptic curve 1960i1

-4	8	-3	5	-7
3920c1	15680bi1	17640y1	9800b1	1960n1

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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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