Cremona's table of elliptic curves

9464 = 2³ · 7 · 13²

Field	Data	Notes
Atkin-Lehner	2+ 7+ 13+	Signs for the Atkin-Lehner involutions
Class	9464a	Isogeny class
Conductor	9464	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	1920	Modular degree for the optimal curve
Δ	-8479744 = -1 · 210 · 72 · 132	Discriminant
Eigenvalues	2+  2 -1 7+ -2 13+ -3  8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-56,-196]	[a1,a2,a3,a4,a6]
Generators	[10:12:1]	Generators of the group modulo torsion
j	-114244/49	j-invariant
L	5.5293867423072	L(r)(E,1)/r!
Ω	0.85347801983382	Real period
R	1.6196629010387	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	18928f1 75712n1 85176bq1 66248k1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 9464a1

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	-1	+	-2	+	-3	8	6	-9	6	-3	3	-2	12	-5	14	-11	2	-12	-9	-10	-6	-10	-10

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Quadratic twists for elliptic curve 9464a1

-4	8	-3	-7	13
18928f1	75712n1	85176bq1	66248k1	9464h1

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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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