Cremona's table of elliptic curves

426 = 2 · 3 · 71

Field	Data	Notes
Atkin-Lehner	2- 3- 71-	Signs for the Atkin-Lehner involutions
Class	426a	Isogeny class
Conductor	426	Conductor
∏ cp	5	Product of Tamagawa factors cp
Δ	-10825376106 = -1 · 2 · 3 · 715	Discriminant
Eigenvalues	2- 3-  1  3 -3 -6 -2  5	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-230,-5202]	[a1,a2,a3,a4,a6]
j	-1345938541921/10825376106	j-invariant
L	2.6994377235726	L(r)(E,1)/r!
Ω	0.53988754471452	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	3408e2 13632g2 1278c2 10650d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 426a2

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	3	-3	-6	-2	5	-6	5	7	8	7	-11	-12	-6	-5	-13	8	-	9	10	-6	-10	18

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Quadratic twists for elliptic curve 426a2

-4	8	-3	5	-7	-11	13	17	-71
3408e2	13632g2	1278c2	10650d2	20874bd2	51546d2	71994p2	123114n2	30246e2

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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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