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	9464d	Isogeny class
Conductor	9464	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	242189968384 = 210 · 72 · 136	Discriminant
Eigenvalues	2+  0 -2 7-  4 13+ -6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-3211,65910]	[a1,a2,a3,a4,a6]
j	740772/49	j-invariant
L	0.97022424297743	L(r)(E,1)/r!
Ω	0.97022424297743	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	18928b2 75712z2 85176ce2 66248e2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 9464d2

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	-2	-	4	+	-6	-8	0	6	-8	2	-2	-4	8	6	0	-6	4	8	-10	16	-8	6	6

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Quadratic twists for elliptic curve 9464d2

-4	8	-3	-7	13
18928b2	75712z2	85176ce2	66248e2	56a2

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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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