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	9408g	Isogeny class
Conductor	9408	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-70837874688 = -1 · 212 · 3 · 78	Discriminant
Eigenvalues	2+ 3+  0 7-  2 -2 -4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,327,-12711]	[a1,a2,a3,a4,a6]
j	8000/147	j-invariant
L	1.0662454069816	L(r)(E,1)/r!
Ω	0.53312270349082	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	9408ba2 4704l1 28224bm2 1344f2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 9408g2

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

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Quadratic twists for elliptic curve 9408g2

-4	8	-3	-7
9408ba2	4704l1	28224bm2	1344f2

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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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