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	9360r	Isogeny class
Conductor	9360	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	12130560000 = 211 · 36 · 54 · 13	Discriminant
Eigenvalues	2+ 3- 5-  0 -4 13+  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-5067,-138726]	[a1,a2,a3,a4,a6]
Generators	[-41:10:1]	Generators of the group modulo torsion
j	9636491538/8125	j-invariant
L	4.5517147801095	L(r)(E,1)/r!
Ω	0.56589233418936	Real period
R	2.0108572360456	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	4680s3 37440ee4 1040a3 46800bc4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9360r3

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	-4	+	6	-4	0	2	4	-6	6	-8	0	-2	4	-10	-12	-4	14	16	12	-2	-2

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Quadratic twists for elliptic curve 9360r3

-4	8	-3	5	13
4680s3	37440ee4	1040a3	46800bc4	121680m4

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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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