Cremona's table of elliptic curves

1426 = 2 · 23 · 31

Field	Data	Notes
Atkin-Lehner	2+ 23- 31-	Signs for the Atkin-Lehner involutions
Class	1426d	Isogeny class
Conductor	1426	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	4066952 = 23 · 232 · 312	Discriminant
Eigenvalues	2+ -2 -4  0  0  4 -2  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-58,132]	[a1,a2,a3,a4,a6]
Generators	[-2:16:1]	Generators of the group modulo torsion
j	21047437081/4066952	j-invariant
L	1.1375321708709	L(r)(E,1)/r!
Ω	2.344848149321	Real period
R	0.48511975975939	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	11408e2 45632l2 12834o2 35650j2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1426d2

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
+	-2	-4	0	0	4	-2	2	-	0	-	6	-6	-4	8	-2	0	14	-14	-8	-6	-8	12	-6	6

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Quadratic twists for elliptic curve 1426d2

-4	8	-3	5	-7	-23	-31
11408e2	45632l2	12834o2	35650j2	69874f2	32798d2	44206e2

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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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