Atkin-Lehner |
3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99099br |
Isogeny class |
Conductor |
99099 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
554593798459701 = 37 · 7 · 118 · 132 |
Discriminant |
Eigenvalues |
0 3- 3 7- 11- 13+ -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-127776,17543578] |
[a1,a2,a3,a4,a6] |
j |
1476395008/3549 |
j-invariant |
L |
2.0799464420913 |
L(r)(E,1)/r! |
Ω |
0.51998660328398 |
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 |
33033l1 99099bb1 |
Quadratic twists by: -3 -11 |