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	9680bf	Isogeny class
Conductor	9680	Conductor
∏ cp	10	Product of Tamagawa factors cp
deg	84480	Modular degree for the optimal curve
Δ	-2743793676800000 = -1 · 212 · 55 · 118	Discriminant
Eigenvalues	2-  3 5- -3 11- -4  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-22627,2840354]	[a1,a2,a3,a4,a6]
j	-1459161/3125	j-invariant
L	4.0339665025641	L(r)(E,1)/r!
Ω	0.40339665025641	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	605a1 38720cm1 87120es1 48400cr1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9680bf1

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 9680bf1

-4	8	-3	5	-11
605a1	38720cm1	87120es1	48400cr1	9680be1

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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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