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	2793d	Isogeny class
Conductor	2793	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	8064	Modular degree for the optimal curve
Δ	118622310177 = 3 · 78 · 193	Discriminant
Eigenvalues	-1 3+ -4 7- -2 -4  0 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-21120,-1190064]	[a1,a2,a3,a4,a6]
Generators	[-84:51:1]	Generators of the group modulo torsion
j	8855610342769/1008273	j-invariant
L	1.1333456989548	L(r)(E,1)/r!
Ω	0.39603077547222	Real period
R	0.95392056135316	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	44688db1 8379l1 69825bv1 399c1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2793d1

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

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Quadratic twists for elliptic curve 2793d1

-4	-3	5	-7	-19
44688db1	8379l1	69825bv1	399c1	53067s1

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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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