Atkin-Lehner |
2- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
129200cg |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
331200 |
Modular degree for the optimal curve |
Δ |
-2762473779200 = -1 · 212 · 52 · 175 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 -2 -6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48773,-4162957] |
[a1,a2,a3,a4,a6] |
j |
-125305769758720/26977283 |
j-invariant |
L |
0.80313467952454 |
L(r)(E,1)/r! |
Ω |
0.16062692312296 |
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 |
8075d1 129200cu2 |
Quadratic twists by: -4 5 |