Atkin-Lehner |
2- 3+ 43+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
125904c |
Isogeny class |
Conductor |
125904 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
338688 |
Modular degree for the optimal curve |
Δ |
5464453176576 = 28 · 37 · 43 · 613 |
Discriminant |
Eigenvalues |
2- 3+ -1 -4 4 5 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12301,517057] |
[a1,a2,a3,a4,a6] |
j |
804156001460224/21345520221 |
j-invariant |
L |
1.5199937263077 |
L(r)(E,1)/r! |
Ω |
0.75999587381974 |
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 |
31476g1 |
Quadratic twists by: -4 |