Cremona's table of elliptic curves

806 = 2 · 13 · 31

Field	Data	Notes
Atkin-Lehner	2- 13- 31-	Signs for the Atkin-Lehner involutions
Class	806f	Isogeny class
Conductor	806	Conductor
∏ cp	10	Product of Tamagawa factors cp
Δ	-21310335461500826 = -1 · 2 · 13 · 3110	Discriminant
Eigenvalues	2- -1  1  3  2 13-  3  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,66885,2264179]	[a1,a2,a3,a4,a6]
j	33090970201326732239/21310335461500826	j-invariant
L	2.3870367991787	L(r)(E,1)/r!
Ω	0.23870367991787	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	6448i2 25792h2 7254f2 20150c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 806f2

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	1	3	2	-	3	0	-6	10	-	3	2	9	3	-6	-10	-8	8	-3	-6	10	-6	0	-12

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Quadratic twists for elliptic curve 806f2

-4	8	-3	5	-7	-11	13	-31
6448i2	25792h2	7254f2	20150c2	39494s2	97526j2	10478c2	24986f2

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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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