Cremona's table of elliptic curves

9360 = 2⁴ · 3² · 5 · 13

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 13+	Signs for the Atkin-Lehner involutions
Class	9360bd	Isogeny class
Conductor	9360	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	122880	Modular degree for the optimal curve
Δ	-1681900972277760000 = -1 · 228 · 33 · 54 · 135	Discriminant
Eigenvalues	2- 3+ 5- -2  4 13+  4 -6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,268893,-31827806]	[a1,a2,a3,a4,a6]
Generators	[143:3090:1]	Generators of the group modulo torsion
j	19441890357117957/15208161280000	j-invariant
L	4.6215252784291	L(r)(E,1)/r!
Ω	0.14803001217505	Real period
R	3.9025238957659	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	1170a1 37440de1 9360y1 46800ci1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9360bd1

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	4	+	4	-6	0	4	-6	-2	-10	-8	0	4	4	2	-6	-8	10	4	-12	2	2

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Quadratic twists for elliptic curve 9360bd1

-4	8	-3	5	13
1170a1	37440de1	9360y1	46800ci1	121680cj1

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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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