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	9360bh	Isogeny class
Conductor	9360	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	13824	Modular degree for the optimal curve
Δ	-89856000000 = -1 · 214 · 33 · 56 · 13	Discriminant
Eigenvalues	2- 3+ 5-  4  0 13-  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-3987,-97966]	[a1,a2,a3,a4,a6]
j	-63378025803/812500	j-invariant
L	3.6021174371115	L(r)(E,1)/r!
Ω	0.30017645309262	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	1170b1 37440da1 9360bb3 46800cc1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9360bh1

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 9360bh1

-4	8	-3	5	13
1170b1	37440da1	9360bb3	46800cc1	121680cm1

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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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