Cremona's table of elliptic curves

2805 = 3 · 5 · 11 · 17

Field	Data	Notes
Atkin-Lehner	3- 5+ 11- 17+	Signs for the Atkin-Lehner involutions
Class	2805d	Isogeny class
Conductor	2805	Conductor
∏ cp	56	Product of Tamagawa factors cp
Δ	334291413963375 = 37 · 53 · 114 · 174	Discriminant
Eigenvalues	1 3- 5+  0 11-  2 17+ -8	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1458729,678002977]	[a1,a2,a3,a4,a6]
Generators	[-97:28659:1]	Generators of the group modulo torsion
j	343278919869647291747209/334291413963375	j-invariant
L	4.4141196569383	L(r)(E,1)/r!
Ω	0.45366984151111	Real period
R	0.69498616033121	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	44880z4 8415n3 14025h3 30855l4	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 2805d3

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	-	+	0	-	2	+	-8	0	6	-4	2	2	-12	-12	-14	-12	-2	12	-8	2	0	-4	10	14

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Quadratic twists for elliptic curve 2805d3

-4	-3	5	-11	17
44880z4	8415n3	14025h3	30855l4	47685e4

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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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