Atkin-Lehner |
2- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122740m |
Isogeny class |
Conductor |
122740 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
596843165812038400 = 28 · 52 · 172 · 199 |
Discriminant |
Eigenvalues |
2- 0 5- 4 0 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-264297847,1653821187486] |
[a1,a2,a3,a4,a6] |
Generators |
[194452967656037166:-1565735267840811375:19731153214648] |
Generators of the group modulo torsion |
j |
24716229220268784/7225 |
j-invariant |
L |
9.2183446279347 |
L(r)(E,1)/r! |
Ω |
0.17199137206327 |
Real period |
R |
26.798857653252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035703 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122740n2 |
Quadratic twists by: -19 |