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
deg	26496	Modular degree for the optimal curve
Δ	-1412103686586992 = -1 · 24 · 72 · 239	Discriminant
Eigenvalues	2+  0  0 7+  4 -2 -4 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-3802,1811172]	[a1,a2,a3,a4,a6]
j	-3375/784	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	59248w1 66654bk1 51842a1 7406e1	Quadratic twists by: -4 -3 -7 -23

Hecke Eigenvalues for elliptic curve 7406a1

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 7406a1

-4	-3	-7	-23
59248w1	66654bk1	51842a1	7406e1

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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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