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	108	Product of Tamagawa factors cp
Δ	-1140118101991232 = -1 · 26 · 76 · 133 · 413	Discriminant
Eigenvalues	2-  1  0 7-  6 13-  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-6383,1635833]	[a1,a2,a3,a4,a6]
j	-28760901707616625/1140118101991232	j-invariant
L	4.8750013290252	L(r)(E,1)/r!
Ω	0.4062501107521	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	59696m2 67158w2 52234ba2 97006c2	Quadratic twists by: -4 -3 -7 13

Hecke Eigenvalues for elliptic curve 7462i2

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 7462i2

-4	-3	-7	13
59696m2	67158w2	52234ba2	97006c2

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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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