Atkin-Lehner |
2- 5+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
125800m |
Isogeny class |
Conductor |
125800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
255360 |
Modular degree for the optimal curve |
Δ |
-106930000000000 = -1 · 210 · 510 · 172 · 37 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 0 6 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6875,543750] |
[a1,a2,a3,a4,a6] |
j |
-3593700/10693 |
j-invariant |
L |
2.0938405229063 |
L(r)(E,1)/r! |
Ω |
0.52345981927668 |
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 |
125800d1 |
Quadratic twists by: 5 |