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	9680h	Isogeny class
Conductor	9680	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	2560	Modular degree for the optimal curve
Δ	141724880 = 24 · 5 · 116	Discriminant
Eigenvalues	2+  0 5- -4 11-  2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-242,1331]	[a1,a2,a3,a4,a6]
Generators	[-110:363:8]	Generators of the group modulo torsion
j	55296/5	j-invariant
L	3.8992754983636	L(r)(E,1)/r!
Ω	1.7902688030784	Real period
R	2.1780391255541	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	4840g1 38720bu1 87120bk1 48400k1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9680h1

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
+	0	-	-4	-	2	-2	4	-4	2	8	6	6	-8	-4	6	4	2	-8	0	6	0	-16	-6	-14

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Quadratic twists for elliptic curve 9680h1

-4	8	-3	5	-11
4840g1	38720bu1	87120bk1	48400k1	80a2

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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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