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	-213206722560 = -1 · 211 · 36 · 5 · 134	Discriminant
Eigenvalues	2+ 3- 5-  0 -4 13+  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,1413,-8694]	[a1,a2,a3,a4,a6]
Generators	[15:126:1]	Generators of the group modulo torsion
j	208974222/142805	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	4680s4 37440ee3 1040a4 46800bc3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9360r4

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 9360r4

-4	8	-3	5	13
4680s4	37440ee3	1040a4	46800bc3	121680m3

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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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