Cremona's table of elliptic curves

9680 = 2⁴ · 5 · 11²

Field	Data	Notes
Atkin-Lehner	2- 5- 11-	Signs for the Atkin-Lehner involutions
Class	9680be	Isogeny class
Conductor	9680	Conductor
∏ cp	10	Product of Tamagawa factors cp
deg	7680	Modular degree for the optimal curve
Δ	-1548800000 = -1 · 212 · 55 · 112	Discriminant
Eigenvalues	2-  3 5-  3 11-  4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-187,-2134]	[a1,a2,a3,a4,a6]
j	-1459161/3125	j-invariant
L	6.0496547683888	L(r)(E,1)/r!
Ω	0.60496547683888	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	605c1 38720cl1 87120em1 48400cs1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9680be1

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	-	3	-	4	0	-4	8	6	2	-8	-5	-5	3	4	2	-11	13	-2	-8	-10	-4	1	-8

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Quadratic twists for elliptic curve 9680be1

-4	8	-3	5	-11
605c1	38720cl1	87120em1	48400cs1	9680bf1

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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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