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	9408k	Isogeny class
Conductor	9408	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-312264916992 = -1 · 215 · 34 · 76	Discriminant
Eigenvalues	2+ 3+  2 7-  4 -2  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,1503,14337]	[a1,a2,a3,a4,a6]
j	97336/81	j-invariant
L	2.5046014919218	L(r)(E,1)/r!
Ω	0.62615037298044	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	9408bg4 4704bf4 28224cl3 192b4	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 9408k4

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

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Quadratic twists for elliptic curve 9408k4

-4	8	-3	-7
9408bg4	4704bf4	28224cl3	192b4

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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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