Atkin-Lehner |
2+ 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
125120bi |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
-256245760000 = -1 · 220 · 54 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 4 -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-545,-25025] |
[a1,a2,a3,a4,a6] |
j |
-68417929/977500 |
j-invariant |
L |
1.6842069660574 |
L(r)(E,1)/r! |
Ω |
0.42105146503838 |
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 |
125120cy1 3910d1 |
Quadratic twists by: -4 8 |