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	9360bw	Isogeny class
Conductor	9360	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	9216	Modular degree for the optimal curve
Δ	-104808038400 = -1 · 214 · 39 · 52 · 13	Discriminant
Eigenvalues	2- 3- 5- -2  4 13+ -8  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,573,-14654]	[a1,a2,a3,a4,a6]
j	6967871/35100	j-invariant
L	2.132313219497	L(r)(E,1)/r!
Ω	0.53307830487425	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	1170e1 37440em1 3120v1 46800dz1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9360bw1

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
-	-	-	-2	4	+	-8	6	6	4	0	-2	2	4	0	10	4	-10	-12	-8	-8	-8	12	14	-16

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Quadratic twists for elliptic curve 9360bw1

-4	8	-3	5	13
1170e1	37440em1	3120v1	46800dz1	121680dq1

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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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