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	9464b	Isogeny class
Conductor	9464	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	16128	Modular degree for the optimal curve
Δ	-5509821780736 = -1 · 28 · 73 · 137	Discriminant
Eigenvalues	2+ -2  1 7+ -4 13+ -6 -1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-225,112867]	[a1,a2,a3,a4,a6]
Generators	[-9:338:1]	Generators of the group modulo torsion
j	-1024/4459	j-invariant
L	2.6882197767689	L(r)(E,1)/r!
Ω	0.61102567179779	Real period
R	0.27497001157695	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	18928e1 75712j1 85176bs1 66248j1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 9464b1

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	+	-4	+	-6	-1	1	3	7	10	10	-7	9	3	0	6	6	-10	11	-3	-11	7	-17

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Quadratic twists for elliptic curve 9464b1

-4	8	-3	-7	13
18928e1	75712j1	85176bs1	66248j1	728d1

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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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