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	9360bn	Isogeny class
Conductor	9360	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	690789781094400 = 214 · 310 · 52 · 134	Discriminant
Eigenvalues	2- 3- 5+  0  4 13-  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-81363,-8842862]	[a1,a2,a3,a4,a6]
j	19948814692561/231344100	j-invariant
L	2.263013966143	L(r)(E,1)/r!
Ω	0.28287674576788	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	1170d4 37440ey3 3120z4 46800cx3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9360bn3

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

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Quadratic twists for elliptic curve 9360bn3

-4	8	-3	5	13
1170d4	37440ey3	3120z4	46800cx3	121680ep3

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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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