Atkin-Lehner |
3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
126075m |
Isogeny class |
Conductor |
126075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1763328 |
Modular degree for the optimal curve |
Δ |
374293370115046875 = 3 · 56 · 418 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 -3 -3 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-610238,-181361344] |
[a1,a2,a3,a4,a6] |
j |
201433/3 |
j-invariant |
L |
0.34193806335543 |
L(r)(E,1)/r! |
Ω |
0.17096867059861 |
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 |
5043d1 126075u1 |
Quadratic twists by: 5 41 |