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	9360ca	Isogeny class
Conductor	9360	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	2304	Modular degree for the optimal curve
Δ	-327525120 = -1 · 28 · 39 · 5 · 13	Discriminant
Eigenvalues	2- 3- 5-  1  3 13- -3 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,168,236]	[a1,a2,a3,a4,a6]
Generators	[10:54:1]	Generators of the group modulo torsion
j	2809856/1755	j-invariant
L	5.0759368510482	L(r)(E,1)/r!
Ω	1.0617543994358	Real period
R	1.1951767879995	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	2340i1 37440dw1 3120p1 46800cy1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9360ca1

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
-	-	-	1	3	-	-3	-2	3	-6	-2	-7	-9	-8	-6	-3	0	-7	4	3	-10	1	0	-3	-1

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Quadratic twists for elliptic curve 9360ca1

-4	8	-3	5	13
2340i1	37440dw1	3120p1	46800cy1	121680dh1

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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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