Atkin-Lehner |
2+ 3- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
125856s |
Isogeny class |
Conductor |
125856 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1098240 |
Modular degree for the optimal curve |
Δ |
-15285104077413888 = -1 · 29 · 317 · 19 · 233 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 -6 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40611,-6730886] |
[a1,a2,a3,a4,a6] |
j |
-19845281961224/40951603431 |
j-invariant |
L |
0.94688932280274 |
L(r)(E,1)/r! |
Ω |
0.15781495852522 |
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 |
125856e1 41952o1 |
Quadratic twists by: -4 -3 |