Atkin-Lehner |
2- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
114400bi |
Isogeny class |
Conductor |
114400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
425339200000000 = 212 · 58 · 112 · 133 |
Discriminant |
Eigenvalues |
2- -1 5- 0 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20333,-503963] |
[a1,a2,a3,a4,a6] |
j |
581071360/265837 |
j-invariant |
L |
1.6702223651275 |
L(r)(E,1)/r! |
Ω |
0.41755584795148 |
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 |
114400bc1 114400e1 |
Quadratic twists by: -4 5 |