Cremona's table of elliptic curves

7462 = 2 · 7 · 13 · 41

Field	Data	Notes
Atkin-Lehner	2- 7- 13- 41+	Signs for the Atkin-Lehner involutions
Class	7462i	Isogeny class
Conductor	7462	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-834169168835812628 = -1 · 22 · 72 · 13 · 419	Discriminant
Eigenvalues	2-  1  0 7-  6 13-  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,57317,-43619195]	[a1,a2,a3,a4,a6]
j	20824452493149863375/834169168835812628	j-invariant
L	4.8750013290252	L(r)(E,1)/r!
Ω	0.13541670358403	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	9	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	59696m3 67158w3 52234ba3 97006c3	Quadratic twists by: -4 -3 -7 13

Hecke Eigenvalues for elliptic curve 7462i3

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
-	1	0	-	6	-	0	2	6	0	5	2	+	-10	6	6	-3	-1	-4	12	2	8	-15	9	-1

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Quadratic twists for elliptic curve 7462i3

-4	-3	-7	13
59696m3	67158w3	52234ba3	97006c3

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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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