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	9360bm	Isogeny class
Conductor	9360	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	72783360000 = 212 · 37 · 54 · 13	Discriminant
Eigenvalues	2- 3- 5+  0  4 13- -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-18720003,-31175037502]	[a1,a2,a3,a4,a6]
j	242970740812818720001/24375	j-invariant
L	2.3225926882228	L(r)(E,1)/r!
Ω	0.072581021506964	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	16	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	585f7 37440ex8 3120r7 46800cw8	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9360bm7

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	-	-2	4	8	2	8	6	6	4	-8	-6	-12	-2	4	0	-6	-16	-4	-10	18

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Quadratic twists for elliptic curve 9360bm7

-4	8	-3	5	13
585f7	37440ex8	3120r7	46800cw8	121680eo8

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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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