Atkin-Lehner |
3- 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
119925bm |
Isogeny class |
Conductor |
119925 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2709504 |
Modular degree for the optimal curve |
Δ |
-89554951276171875 = -1 · 39 · 58 · 132 · 413 |
Discriminant |
Eigenvalues |
2 3- 5+ 4 1 13- 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-750675,250751281] |
[a1,a2,a3,a4,a6] |
j |
-4107069156265984/7862163075 |
j-invariant |
L |
8.1568814514215 |
L(r)(E,1)/r! |
Ω |
0.3398700331437 |
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 |
39975e1 23985o1 |
Quadratic twists by: -3 5 |