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	1406d	Isogeny class
Conductor	1406	Conductor
∏ cp	5	Product of Tamagawa factors cp
deg	1400	Modular degree for the optimal curve
Δ	2931701216 = 25 · 195 · 37	Discriminant
Eigenvalues	2-  2  3  4 -5 -2  0 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-614,-5501]	[a1,a2,a3,a4,a6]
j	25601949246817/2931701216	j-invariant
L	4.8311562071468	L(r)(E,1)/r!
Ω	0.96623124142936	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	11248n1 44992v1 12654c1 35150e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1406d1

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	3	4	-5	-2	0	+	-3	-4	6	+	-4	-8	-4	-9	13	-3	8	-11	9	4	-5	9	-6

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Quadratic twists for elliptic curve 1406d1

-4	8	-3	5	-7	-19	37
11248n1	44992v1	12654c1	35150e1	68894y1	26714j1	52022g1

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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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