Cremona's table of elliptic curves

1406 = 2 · 19 · 37

Field	Data	Notes
Atkin-Lehner	2- 19- 37-	Signs for the Atkin-Lehner involutions
Class	1406h	Isogeny class
Conductor	1406	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	576	Modular degree for the optimal curve
Δ	-75119768 = -1 · 23 · 193 · 372	Discriminant
Eigenvalues	2-  1  0  5  0  5 -3 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-183,1025]	[a1,a2,a3,a4,a6]
j	-677993136625/75119768	j-invariant
L	3.7713674852274	L(r)(E,1)/r!
Ω	1.8856837426137	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	11248k1 44992e1 12654h1 35150g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1406h1

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	5	0	5	-3	-	3	-3	-10	-	12	2	0	-9	3	8	-7	-6	5	-10	6	-12	2

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Quadratic twists for elliptic curve 1406h1

-4	8	-3	5	-7	-19	37
11248k1	44992e1	12654h1	35150g1	68894s1	26714g1	52022b1

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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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