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
Δ	181061811 = 34 · 76 · 19	Discriminant
Eigenvalues	1 3+  2 7-  0 -6  6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-4974,-137115]	[a1,a2,a3,a4,a6]
Generators	[20490:99025:216]	Generators of the group modulo torsion
j	115714886617/1539	j-invariant
L	3.7236604149839	L(r)(E,1)/r!
Ω	0.56847593904508	Real period
R	6.5502515748315	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	44688cv4 8379n3 69825by4 57b3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2793c3

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 2793c3

-4	-3	5	-7	-19
44688cv4	8379n3	69825by4	57b3	53067t4

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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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