Atkin-Lehner |
2- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
115192bi |
Isogeny class |
Conductor |
115192 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
777097245143296 = 28 · 72 · 118 · 172 |
Discriminant |
Eigenvalues |
2- 0 2 7- 11- 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24079,519090] |
[a1,a2,a3,a4,a6] |
Generators |
[-1905:36890:27] |
Generators of the group modulo torsion |
j |
3404418768/1713481 |
j-invariant |
L |
9.2772396006453 |
L(r)(E,1)/r! |
Ω |
0.44612391296021 |
Real period |
R |
5.1988019889395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000061011 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10472a2 |
Quadratic twists by: -11 |