Atkin-Lehner |
2- 11- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
127534n |
Isogeny class |
Conductor |
127534 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
2980800 |
Modular degree for the optimal curve |
Δ |
314788182695695808 = 26 · 112 · 175 · 315 |
Discriminant |
Eigenvalues |
2- -2 2 3 11- 0 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1065512,-422563712] |
[a1,a2,a3,a4,a6] |
j |
1105639135842050995273/2601555228890048 |
j-invariant |
L |
4.4585385036814 |
L(r)(E,1)/r! |
Ω |
0.14861798582954 |
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 |
127534h1 |
Quadratic twists by: -11 |