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	9360bb	Isogeny class
Conductor	9360	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-65505024000000 = -1 · 214 · 39 · 56 · 13	Discriminant
Eigenvalues	2- 3+ 5+  4  0 13- -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-35883,2645082]	[a1,a2,a3,a4,a6]
Generators	[31:1250:1]	Generators of the group modulo torsion
j	-63378025803/812500	j-invariant
L	4.7218295179169	L(r)(E,1)/r!
Ω	0.62193229650575	Real period
R	1.8980480449584	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	1170i3 37440dk3 9360bh1 46800cb3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9360bb3

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

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Quadratic twists for elliptic curve 9360bb3

-4	8	-3	5	13
1170i3	37440dk3	9360bh1	46800cb3	121680cz3

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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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