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	1426c	Isogeny class
Conductor	1426	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	192	Modular degree for the optimal curve
Δ	-6034832 = -1 · 24 · 233 · 31	Discriminant
Eigenvalues	2+  1  0 -1  0  2 -3 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,44,34]	[a1,a2,a3,a4,a6]
Generators	[17:67:1]	Generators of the group modulo torsion
j	9731810375/6034832	j-invariant
L	2.3146227899974	L(r)(E,1)/r!
Ω	1.4784210124259	Real period
R	2.3484069529687	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	11408c1 45632j1 12834l1 35650h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1426c1

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
+	1	0	-1	0	2	-3	-4	-	6	-	2	-9	-4	-6	-9	-6	-1	5	-6	8	8	-12	18	14

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Quadratic twists for elliptic curve 1426c1

-4	8	-3	5	-7	-23	-31
11408c1	45632j1	12834l1	35650h1	69874e1	32798a1	44206d1

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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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