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	2805c	Isogeny class
Conductor	2805	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-49717529296875 = -1 · 32 · 512 · 113 · 17	Discriminant
Eigenvalues	0 3- 5+ -1 11+  2 17-  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,8839,116045]	[a1,a2,a3,a4,a6]
Generators	[2522:46871:8]	Generators of the group modulo torsion
j	76363175346569216/49717529296875	j-invariant
L	3.0407451449883	L(r)(E,1)/r!
Ω	0.39641180074296	Real period
R	1.9176681542334	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	44880bk2 8415p2 14025a2 30855k2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 2805c2

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
0	-	+	-1	+	2	-	2	-6	3	-4	8	-9	-4	-3	3	3	2	-1	0	-7	-16	-12	3	8

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Quadratic twists for elliptic curve 2805c2

-4	-3	5	-11	17
44880bk2	8415p2	14025a2	30855k2	47685g2

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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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