Cremona's table of elliptic curves

9280 = 2⁶ · 5 · 29

Field	Data	Notes
Atkin-Lehner	2+ 5- 29-	Signs for the Atkin-Lehner involutions
Class	9280j	Isogeny class
Conductor	9280	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	68894720 = 214 · 5 · 292	Discriminant
Eigenvalues	2+  2 5-  0 -4  2  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-145,-495]	[a1,a2,a3,a4,a6]
Generators	[-168:305:27]	Generators of the group modulo torsion
j	20720464/4205	j-invariant
L	6.2875627221037	L(r)(E,1)/r!
Ω	1.3945924258745	Real period
R	4.5085306684932	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	9280v2 1160b2 83520s2 46400v2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9280j2

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	-	0	-4	2	0	-4	-4	-	-4	8	-2	-2	2	14	-4	-2	4	-8	-12	-4	4	-10	8

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Quadratic twists for elliptic curve 9280j2

-4	8	-3	5
9280v2	1160b2	83520s2	46400v2

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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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