Cremona's table of elliptic curves

7406 = 2 · 7 · 23²

Field	Data	Notes
Atkin-Lehner	2+ 7+ 23-	Signs for the Atkin-Lehner involutions
Class	7406a	Isogeny class
Conductor	7406	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	17298270160690652 = 22 · 74 · 239	Discriminant
Eigenvalues	2+  0  0 7+  4 -2 -4 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-247142,46926408]	[a1,a2,a3,a4,a6]
j	926859375/9604	j-invariant
L	0.78222855533593	L(r)(E,1)/r!
Ω	0.39111427766797	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	59248w2 66654bk2 51842a2 7406e2	Quadratic twists by: -4 -3 -7 -23

Hecke Eigenvalues for elliptic curve 7406a2

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

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Quadratic twists for elliptic curve 7406a2

-4	-3	-7	-23
59248w2	66654bk2	51842a2	7406e2

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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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