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	2793f	Isogeny class
Conductor	2793	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	3960	Modular degree for the optimal curve
Δ	-131994060219 = -1 · 310 · 76 · 19	Discriminant
Eigenvalues	-2 3+ -1 7- -3  6 -3 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,964,12830]	[a1,a2,a3,a4,a6]
Generators	[2:121:1]	Generators of the group modulo torsion
j	841232384/1121931	j-invariant
L	1.335243476025	L(r)(E,1)/r!
Ω	0.70053639493408	Real period
R	0.95301506508497	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	44688cs1 8379o1 69825ca1 57c1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2793f1

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
-2	+	-1	-	-3	6	-3	-	4	-10	-2	8	8	-1	-3	-6	0	-7	8	12	11	0	-4	-10	2

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Quadratic twists for elliptic curve 2793f1

-4	-3	5	-7	-19
44688cs1	8379o1	69825ca1	57c1	53067u1

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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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