Atkin-Lehner |
3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
99099z |
Isogeny class |
Conductor |
99099 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2146560 |
Modular degree for the optimal curve |
Δ |
-999938478121954371 = -1 · 38 · 713 · 112 · 13 |
Discriminant |
Eigenvalues |
0 3- -2 7+ 11- 13- 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5357946,4773837901] |
[a1,a2,a3,a4,a6] |
j |
-192843857539240787968/11336014217619 |
j-invariant |
L |
0.52589451094446 |
L(r)(E,1)/r! |
Ω |
0.2629471528405 |
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 |
33033c1 99099bp1 |
Quadratic twists by: -3 -11 |