Cremona's table of elliptic curves

1776 = 2⁴ · 3 · 37

Field	Data	Notes
Atkin-Lehner	2- 3- 37+	Signs for the Atkin-Lehner involutions
Class	1776h	Isogeny class
Conductor	1776	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	1051392 = 28 · 3 · 372	Discriminant
Eigenvalues	2- 3-  0  0 -4 -2  0 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-28,-40]	[a1,a2,a3,a4,a6]
Generators	[-22:39:8]	Generators of the group modulo torsion
j	9826000/4107	j-invariant
L	3.2945100333324	L(r)(E,1)/r!
Ω	2.1475668194859	Real period
R	3.0681327383527	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	444a2 7104p2 5328o2 44400bd2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1776h2

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
-	-	0	0	-4	-2	0	-6	-8	8	-6	+	2	6	0	2	0	2	-8	0	-6	10	12	-12	-10

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Quadratic twists for elliptic curve 1776h2

-4	8	-3	5	-7	37
444a2	7104p2	5328o2	44400bd2	87024bz2	65712w2

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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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