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	9408bl	Isogeny class
Conductor	9408	Conductor
∏ cp	40	Product of Tamagawa factors cp
Δ	-13776620707196928 = -1 · 212 · 35 · 712	Discriminant
Eigenvalues	2+ 3- -4 7-  2 -2  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,41095,-4634841]	[a1,a2,a3,a4,a6]
Generators	[205:3528:1]	Generators of the group modulo torsion
j	15926924096/28588707	j-invariant
L	3.9642955887639	L(r)(E,1)/r!
Ω	0.20805576733821	Real period
R	1.9054004796319	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	9408t2 4704h1 28224cs2 1344e2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 9408bl2

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	-	2	-2	0	-4	-6	10	8	-10	4	8	4	-10	8	-6	-4	14	-6	4	-12	-4	2

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Quadratic twists for elliptic curve 9408bl2

-4	8	-3	-7
9408t2	4704h1	28224cs2	1344e2

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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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