Atkin-Lehner |
5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
126025b |
Isogeny class |
Conductor |
126025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-27961796875 = -1 · 57 · 713 |
Discriminant |
Eigenvalues |
-2 2 5+ 1 6 3 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,592,-6032] |
[a1,a2,a3,a4,a6] |
j |
4096/5 |
j-invariant |
L |
2.5372749468351 |
L(r)(E,1)/r! |
Ω |
0.63431812828309 |
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 |
25205b1 126025c1 |
Quadratic twists by: 5 -71 |