Atkin-Lehner |
3- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
99099n |
Isogeny class |
Conductor |
99099 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
130141440 |
Modular degree for the optimal curve |
Δ |
-1.8551294983639E+29 |
Discriminant |
Eigenvalues |
2 3- 2 7+ 11+ 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-371919999,-20905733694321] |
[a1,a2,a3,a4,a6] |
Generators |
[477651258508107308746:372470287323103549744379:784644853468904] |
Generators of the group modulo torsion |
j |
-3309867537183567872/107922634023138753 |
j-invariant |
L |
15.673701880487 |
L(r)(E,1)/r! |
Ω |
0.013912567959915 |
Real period |
R |
28.164645674413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33033r1 99099bn1 |
Quadratic twists by: -3 -11 |