Cremona's table of elliptic curves

1813 = 7² · 37

Field	Data	Notes
Atkin-Lehner	7- 37-	Signs for the Atkin-Lehner involutions
Class	1813c	Isogeny class
Conductor	1813	Conductor
∏ cp	3	Product of Tamagawa factors cp
Δ	5959274797 = 76 · 373	Discriminant
Eigenvalues	0 -1  0 7-  3  4 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-1143,14790]	[a1,a2,a3,a4,a6]
Generators	[16:18:1]	Generators of the group modulo torsion
j	1404928000/50653	j-invariant
L	2.1107189801791	L(r)(E,1)/r!
Ω	1.3361880709208	Real period
R	0.52655236841637	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	29008l2 116032a2 16317g2 45325c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1813c2

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	-1	0	-	3	4	-6	-2	6	-6	4	-	9	8	-3	-3	-12	-8	-4	-15	-11	-10	-9	-6	-8

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Quadratic twists for elliptic curve 1813c2

-4	8	-3	5	-7	37
29008l2	116032a2	16317g2	45325c2	37b1	67081a2

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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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