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	426c	Isogeny class
Conductor	426	Conductor
∏ cp	5	Product of Tamagawa factors cp
Δ	-11673234302828544 = -1 · 227 · 35 · 713	Discriminant
Eigenvalues	2+ 3-  3 -1  3  2 -6  5	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,14658,5154352]	[a1,a2,a3,a4,a6]
j	348329658871589543/11673234302828544	j-invariant
L	1.5181284023803	L(r)(E,1)/r!
Ω	0.30362568047606	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	3408g2 13632e2 1278l2 10650r2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 426c2

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
+	-	3	-1	3	2	-6	5	-6	-9	11	-4	9	5	12	-6	-3	-1	-4	+	-7	-10	-6	-6	14

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Quadratic twists for elliptic curve 426c2

-4	8	-3	5	-7	-11	13	17	-71
3408g2	13632e2	1278l2	10650r2	20874g2	51546h2	71994bv2	123114b2	30246b2

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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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