Cremona's table of elliptic curves

2905 = 5 · 7 · 83

Field	Data	Notes
Atkin-Lehner	5+ 7- 83-	Signs for the Atkin-Lehner involutions
Class	2905c	Isogeny class
Conductor	2905	Conductor
∏ cp	14	Product of Tamagawa factors cp
deg	2352	Modular degree for the optimal curve
Δ	-28366938635 = -1 · 5 · 77 · 832	Discriminant
Eigenvalues	-2 -1 5+ 7-  1  1 -3  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,744,-2424]	[a1,a2,a3,a4,a6]
Generators	[39:290:1]	Generators of the group modulo torsion
j	45484000833536/28366938635	j-invariant
L	1.3298192000979	L(r)(E,1)/r!
Ω	0.68098362059766	Real period
R	0.13948512541008	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	46480h1 26145r1 14525b1 20335f1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2905c1

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	+	-	1	1	-3	2	0	-1	4	0	-10	-10	1	4	10	-8	14	-8	2	13	-	-10	19

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Quadratic twists for elliptic curve 2905c1

-4	-3	5	-7
46480h1	26145r1	14525b1	20335f1

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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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