Cremona's table of elliptic curves

7826 = 2 · 7 · 13 · 43

Field	Data	Notes
Atkin-Lehner	2- 7- 13- 43-	Signs for the Atkin-Lehner involutions
Class	7826l	Isogeny class
Conductor	7826	Conductor
∏ cp	162	Product of Tamagawa factors cp
Δ	-1053051443079272 = -1 · 23 · 73 · 136 · 433	Discriminant
Eigenvalues	2-  1  0 7- -3 13-  0 -7	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-37713,3219281]	[a1,a2,a3,a4,a6]
Generators	[2080:93431:1]	Generators of the group modulo torsion
j	-5931952642405140625/1053051443079272	j-invariant
L	7.165844693739	L(r)(E,1)/r!
Ω	0.47283241200606	Real period
R	0.84195260916335	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	62608p2 70434m2 54782bf2 101738e2	Quadratic twists by: -4 -3 -7 13

Hecke Eigenvalues for elliptic curve 7826l2

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	-	-3	-	0	-7	6	-9	5	11	-6	-	-12	6	6	-10	-13	3	2	-10	-6	-9	8

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Quadratic twists for elliptic curve 7826l2

-4	-3	-7	13
62608p2	70434m2	54782bf2	101738e2

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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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