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	32	Product of Tamagawa factors cp
deg	61440	Modular degree for the optimal curve
Δ	-6422411112577200 = -1 · 24 · 39 · 52 · 138	Discriminant
Eigenvalues	2+ 3- 5+  0 -4 13- -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-83658,10080007]	[a1,a2,a3,a4,a6]
Generators	[131:1170:1]	Generators of the group modulo torsion
j	-5551350318708736/550618236675	j-invariant
L	3.9428355302901	L(r)(E,1)/r!
Ω	0.41264909140942	Real period
R	1.1943669610489	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	4680f1 37440ew1 3120j1 46800p1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9360l1

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 9360l1

-4	8	-3	5	13
4680f1	37440ew1	3120j1	46800p1	121680bg1

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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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