Atkin-Lehner |
2- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
88400bp |
Isogeny class |
Conductor |
88400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
212556032000000 = 214 · 56 · 132 · 173 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 2 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37475,-2702750] |
[a1,a2,a3,a4,a6] |
j |
90942871473/3321188 |
j-invariant |
L |
4.1268606345886 |
L(r)(E,1)/r! |
Ω |
0.3439050498706 |
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 |
11050h1 3536f1 |
Quadratic twists by: -4 5 |