Atkin-Lehner |
3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99099bp |
Isogeny class |
Conductor |
99099 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
23612160 |
Modular degree for the optimal curve |
Δ |
-1.7714520102402E+24 |
Discriminant |
Eigenvalues |
0 3- -2 7- 11- 13+ -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-648311466,-6353978246564] |
[a1,a2,a3,a4,a6] |
j |
-192843857539240787968/11336014217619 |
j-invariant |
L |
1.1668545509382 |
L(r)(E,1)/r! |
Ω |
0.014959673040583 |
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 |
33033k1 99099z1 |
Quadratic twists by: -3 -11 |