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	9360cb	Isogeny class
Conductor	9360	Conductor
∏ cp	288	Product of Tamagawa factors cp
Δ	-1230038784000000 = -1 · 214 · 37 · 56 · 133	Discriminant
Eigenvalues	2- 3- 5- -2  0 13-  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,7773,-1666654]	[a1,a2,a3,a4,a6]
Generators	[127:1170:1]	Generators of the group modulo torsion
j	17394111071/411937500	j-invariant
L	4.4129866987785	L(r)(E,1)/r!
Ω	0.23519465200812	Real period
R	0.26059896092095	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	1170g3 37440dy3 3120q3 46800dc3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9360cb3

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

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Quadratic twists for elliptic curve 9360cb3

-4	8	-3	5	13
1170g3	37440dy3	3120q3	46800dc3	121680dl3

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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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