Atkin-Lehner |
2- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
129200cl |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
245480000000000 = 212 · 510 · 17 · 192 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 4 6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-86008,-9708012] |
[a1,a2,a3,a4,a6] |
j |
1099424306161/3835625 |
j-invariant |
L |
1.1153632022695 |
L(r)(E,1)/r! |
Ω |
0.27884029401953 |
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 |
8075c1 25840bb1 |
Quadratic twists by: -4 5 |