Cremona's table of elliptic curves

9295 = 5 · 11 · 13²

Field	Data	Notes
Atkin-Lehner	5+ 11- 13+	Signs for the Atkin-Lehner involutions
Class	9295b	Isogeny class
Conductor	9295	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	8064	Modular degree for the optimal curve
Δ	-86279210875 = -1 · 53 · 11 · 137	Discriminant
Eigenvalues	0 -2 5+ -2 11- 13+ -3 -5	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-901,17255]	[a1,a2,a3,a4,a6]
Generators	[17:84:1] [27:115:1]	Generators of the group modulo torsion
j	-16777216/17875	j-invariant
L	3.4484355659181	L(r)(E,1)/r!
Ω	0.97875745962502	Real period
R	0.88081974037789	Regulator
r	2	Rank of the group of rational points
S	0.99999999999964	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	83655s1 46475e1 102245a1 715a1	Quadratic twists by: -3 5 -11 13

Hecke Eigenvalues for elliptic curve 9295b1

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	+	-2	-	+	-3	-5	-6	-6	10	1	9	-7	-9	-12	0	-4	-5	0	-2	-10	-6	0	-17

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Quadratic twists for elliptic curve 9295b1

-3	5	-11	13
83655s1	46475e1	102245a1	715a1

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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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