Atkin-Lehner |
3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
99099bb |
Isogeny class |
Conductor |
99099 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
313053741 = 37 · 7 · 112 · 132 |
Discriminant |
Eigenvalues |
0 3- 3 7+ 11- 13- 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1056,-13181] |
[a1,a2,a3,a4,a6] |
j |
1476395008/3549 |
j-invariant |
L |
3.3504744016001 |
L(r)(E,1)/r! |
Ω |
0.83761859263303 |
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 |
33033e1 99099br1 |
Quadratic twists by: -3 -11 |