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	1426b	Isogeny class
Conductor	1426	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	404990719950848 = 230 · 233 · 31	Discriminant
Eigenvalues	2+ -2  0 -4  0 -4 -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-18781,207864]	[a1,a2,a3,a4,a6]
j	732565747951719625/404990719950848	j-invariant
L	0.23104325823759	L(r)(E,1)/r!
Ω	0.46208651647518	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	11408h3 45632d3 12834s3 35650p3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1426b3

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	0	-4	0	-4	-6	2	+	0	-	2	-6	-4	0	-6	0	2	2	0	2	8	12	6	-10

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Quadratic twists for elliptic curve 1426b3

-4	8	-3	5	-7	-23	-31
11408h3	45632d3	12834s3	35650p3	69874b3	32798c3	44206h3

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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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