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	9360l	Isogeny class
Conductor	9360	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	2.61896250564E+19	Discriminant
Eigenvalues	2+ 3- 5+  0 -4 13- -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1399323,587626522]	[a1,a2,a3,a4,a6]
Generators	[233:16560:1]	Generators of the group modulo torsion
j	405929061432816484/35083409765625	j-invariant
L	3.9428355302901	L(r)(E,1)/r!
Ω	0.20632454570471	Real period
R	4.7774678441955	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	4680f4 37440ew3 3120j4 46800p3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9360l3

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

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Quadratic twists for elliptic curve 9360l3

-4	8	-3	5	13
4680f4	37440ew3	3120j4	46800p3	121680bg3

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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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