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	9360v	Isogeny class
Conductor	9360	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	1599050419200 = 210 · 37 · 52 · 134	Discriminant
Eigenvalues	2+ 3- 5-  4  4 13-  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-14907,-697894]	[a1,a2,a3,a4,a6]
j	490757540836/2142075	j-invariant
L	3.4574509830926	L(r)(E,1)/r!
Ω	0.43218137288657	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	4680v3 37440dz4 3120c3 46800y4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9360v3

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

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Quadratic twists for elliptic curve 9360v3

-4	8	-3	5	13
4680v3	37440dz4	3120c3	46800y4	121680z4

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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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