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	9680t	Isogeny class
Conductor	9680	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	3543122000 = 24 · 53 · 116	Discriminant
Eigenvalues	2-  2 5+  2 11- -2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-5001,-134440]	[a1,a2,a3,a4,a6]
Generators	[17259340:340099782:42875]	Generators of the group modulo torsion
j	488095744/125	j-invariant
L	6.1350592935783	L(r)(E,1)/r!
Ω	0.5677207644294	Real period
R	10.806473319228	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2420e3 38720dn3 87120fz3 48400cn3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9680t3

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	+	2	-	-2	6	-4	-6	-6	4	2	-6	-10	6	-6	-12	-2	-2	12	-2	8	6	-6	2

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Quadratic twists for elliptic curve 9680t3

-4	8	-3	5	-11
2420e3	38720dn3	87120fz3	48400cn3	80b4

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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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