Cremona's table of elliptic curves

2793 = 3 · 7² · 19

Field	Data	Notes
Atkin-Lehner	3+ 7- 19-	Signs for the Atkin-Lehner involutions
Class	2793c	Isogeny class
Conductor	2793	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	576	Modular degree for the optimal curve
Δ	6705993 = 3 · 76 · 19	Discriminant
Eigenvalues	1 3+  2 7-  0 -6  6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-74,183]	[a1,a2,a3,a4,a6]
Generators	[34:179:1]	Generators of the group modulo torsion
j	389017/57	j-invariant
L	3.7236604149839	L(r)(E,1)/r!
Ω	2.2739037561803	Real period
R	1.6375628937079	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	44688cv1 8379n1 69825by1 57b2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2793c1

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	+	2	-	0	-6	6	-	4	2	-8	-10	2	-4	-12	-6	12	2	-4	0	-10	0	-16	2	-10

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Quadratic twists for elliptic curve 2793c1

-4	-3	5	-7	-19
44688cv1	8379n1	69825by1	57b2	53067t1

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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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