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	9360q	Isogeny class
Conductor	9360	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	34971232667904000 = 211 · 314 · 53 · 134	Discriminant
Eigenvalues	2+ 3- 5-  0  0 13+ -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-89067,-4870726]	[a1,a2,a3,a4,a6]
Generators	[-97:1690:1]	Generators of the group modulo torsion
j	52337949619538/23423590125	j-invariant
L	4.6969362667277	L(r)(E,1)/r!
Ω	0.28813564646187	Real period
R	1.3584273947599	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	4680r3 37440ec4 3120a3 46800ba4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9360q3

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	0	+	-2	0	4	-6	-8	10	6	-4	-8	-2	0	6	-12	8	6	-8	-12	14	-10

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Quadratic twists for elliptic curve 9360q3

-4	8	-3	5	13
4680r3	37440ec4	3120a3	46800ba4	121680k4

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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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