Atkin-Lehner |
2- 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
35322bc |
Isogeny class |
Conductor |
35322 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
Δ |
3675223486784332602 = 2 · 322 · 74 · 293 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-635683,171842615] |
[a1,a2,a3,a4,a6] |
j |
1164800512406592125/150691848242418 |
j-invariant |
L |
5.2825013718454 |
L(r)(E,1)/r! |
Ω |
0.24011369872065 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105966p2 35322h2 |
Quadratic twists by: -3 29 |