Atkin-Lehner |
2- 3- 5- 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
126270bq |
Isogeny class |
Conductor |
126270 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
3291503973970500 = 22 · 36 · 53 · 236 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-74432,-7293761] |
[a1,a2,a3,a4,a6] |
j |
62556116507521209/4515094614500 |
j-invariant |
L |
5.2264360800949 |
L(r)(E,1)/r! |
Ω |
0.2903576030997 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14030b1 |
Quadratic twists by: -3 |