Atkin-Lehner |
2+ 3- 5+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
117150z |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27072 |
Modular degree for the optimal curve |
Δ |
-1405800 = -1 · 23 · 32 · 52 · 11 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- -4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,14,-52] |
[a1,a2,a3,a4,a6] |
j |
13428095/56232 |
j-invariant |
L |
2.732112962971 |
L(r)(E,1)/r! |
Ω |
1.3660567626315 |
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 |
117150bw1 |
Quadratic twists by: 5 |