Atkin-Lehner |
3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99099bq |
Isogeny class |
Conductor |
99099 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
257280 |
Modular degree for the optimal curve |
Δ |
-249663802038651 = -1 · 38 · 7 · 114 · 135 |
Discriminant |
Eigenvalues |
0 3- -2 7- 11- 13+ -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,13794,-434844] |
[a1,a2,a3,a4,a6] |
j |
27195441152/23391459 |
j-invariant |
L |
0.61114755053534 |
L(r)(E,1)/r! |
Ω |
0.3055738342336 |
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 |
33033z1 99099ba1 |
Quadratic twists by: -3 -11 |