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	12	Product of Tamagawa factors cp
Δ	15023662311968 = 25 · 232 · 316	Discriminant
Eigenvalues	2+ -2  0 -4  0 -4 -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-14446,640512]	[a1,a2,a3,a4,a6]
j	333367552811841625/15023662311968	j-invariant
L	0.23104325823759	L(r)(E,1)/r!
Ω	0.69312977471277	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	11408h2 45632d2 12834s2 35650p2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1426b2

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 1426b2

-4	8	-3	5	-7	-23	-31
11408h2	45632d2	12834s2	35650p2	69874b2	32798c2	44206h2

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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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