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	1960l	Isogeny class
Conductor	1960	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	2016	Modular degree for the optimal curve
Δ	-1446273274880 = -1 · 210 · 5 · 710	Discriminant
Eigenvalues	2- -1 5- 7-  2  0 -4  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-800,58780]	[a1,a2,a3,a4,a6]
j	-196/5	j-invariant
L	1.4264236926561	L(r)(E,1)/r!
Ω	0.71321184632805	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	3920i1 15680i1 17640q1 9800f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1960l1

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	-	-	2	0	-4	2	1	9	-4	4	-1	9	0	-10	10	-9	5	14	-12	14	-11	15	18

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Quadratic twists for elliptic curve 1960l1

-4	8	-3	5	-7
3920i1	15680i1	17640q1	9800f1	1960h1

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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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