Cremona's table of elliptic curves

9408 = 2⁶ · 3 · 7²

Field	Data	Notes
Atkin-Lehner	2+ 3- 7-	Signs for the Atkin-Lehner involutions
Class	9408bj	Isogeny class
Conductor	9408	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	666442725064704 = 218 · 32 · 710	Discriminant
Eigenvalues	2+ 3- -2 7- -4 -2  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-153729,23115231]	[a1,a2,a3,a4,a6]
Generators	[269:1140:1]	Generators of the group modulo torsion
j	13027640977/21609	j-invariant
L	4.4704570196116	L(r)(E,1)/r!
Ω	0.51073350208569	Real period
R	4.3765065355568	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	9408cd3 147a4 28224bz4 1344a3	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 9408bj4

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	-2	6	4	0	2	0	-6	-2	4	0	-6	12	-2	-4	0	6	-16	-12	14	-18

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Quadratic twists for elliptic curve 9408bj4

-4	8	-3	-7
9408cd3	147a4	28224bz4	1344a3

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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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