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	16	Product of Tamagawa factors cp
Δ	-1133799040000 = -1 · 210 · 54 · 116	Discriminant
Eigenvalues	2+  0 5- -4 11-  2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,1573,-45254]	[a1,a2,a3,a4,a6]
Generators	[27:130:1]	Generators of the group modulo torsion
j	237276/625	j-invariant
L	3.8992754983636	L(r)(E,1)/r!
Ω	0.44756720076959	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	4840g4 38720bu3 87120bk3 48400k3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9680h4

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 9680h4

-4	8	-3	5	-11
4840g4	38720bu3	87120bk3	48400k3	80a4

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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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