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	9408bd	Isogeny class
Conductor	9408	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	850054496256 = 214 · 32 · 78	Discriminant
Eigenvalues	2+ 3-  2 7-  0 -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-2417,-11985]	[a1,a2,a3,a4,a6]
Generators	[195:2640:1]	Generators of the group modulo torsion
j	810448/441	j-invariant
L	5.815885883097	L(r)(E,1)/r!
Ω	0.72644967284005	Real period
R	4.0029516844298	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	9408ca2 1176c2 28224cd2 1344b2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 9408bd2

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	-2	-6	-4	-4	-6	8	10	10	-12	8	-6	4	-10	-12	4	-2	8	4	-6	-10

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Quadratic twists for elliptic curve 9408bd2

-4	8	-3	-7
9408ca2	1176c2	28224cd2	1344b2

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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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