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	9360p	Isogeny class
Conductor	9360	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	7680	Modular degree for the optimal curve
Δ	-36391680 = -1 · 28 · 37 · 5 · 13	Discriminant
Eigenvalues	2+ 3- 5+  5  1 13-  3 -6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-3108,-66692]	[a1,a2,a3,a4,a6]
Generators	[161:1899:1]	Generators of the group modulo torsion
j	-17790954496/195	j-invariant
L	4.9751081408221	L(r)(E,1)/r!
Ω	0.31970469997424	Real period
R	3.8903933389335	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	4680h1 37440fm1 3120l1 46800z1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9360p1

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
+	-	+	5	1	-	3	-6	-7	-6	2	1	-7	-8	2	-13	-8	-7	-12	1	-10	-3	8	-13	7

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Quadratic twists for elliptic curve 9360p1

-4	8	-3	5	13
4680h1	37440fm1	3120l1	46800z1	121680bx1

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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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