Atkin-Lehner |
2- 3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
99450ct |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
3538944 |
Modular degree for the optimal curve |
Δ |
1.710467186688E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 13+ 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-726755,-131244253] |
[a1,a2,a3,a4,a6] |
j |
3726830856733921/1501644718080 |
j-invariant |
L |
8.1280774007714 |
L(r)(E,1)/r! |
Ω |
0.16933495095133 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33150o1 19890i1 |
Quadratic twists by: -3 5 |