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	6	Product of Tamagawa factors cp
deg	1920	Modular degree for the optimal curve
Δ	701637632 = 210 · 23 · 313	Discriminant
Eigenvalues	2+ -2  0 -4  0 -4 -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-14286,656000]	[a1,a2,a3,a4,a6]
j	322412557611777625/701637632	j-invariant
L	0.23104325823759	L(r)(E,1)/r!
Ω	1.3862595494255	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	11408h1 45632d1 12834s1 35650p1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1426b1

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 1426b1

-4	8	-3	5	-7	-23	-31
11408h1	45632d1	12834s1	35650p1	69874b1	32798c1	44206h1

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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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