Atkin-Lehner |
2+ 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
104400i |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-3567543750000 = -1 · 24 · 39 · 58 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -3 5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-675,91125] |
[a1,a2,a3,a4,a6] |
j |
-6912/725 |
j-invariant |
L |
2.5951440988511 |
L(r)(E,1)/r! |
Ω |
0.64878603510707 |
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 |
52200bn1 104400d1 20880f1 |
Quadratic twists by: -4 -3 5 |