Atkin-Lehner |
2- 3- 5- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115050cc |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
355200 |
Modular degree for the optimal curve |
Δ |
24304312500000 = 25 · 3 · 59 · 133 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 1 13+ -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7263,-22983] |
[a1,a2,a3,a4,a6] |
j |
21694295069/12443808 |
j-invariant |
L |
5.6134749038545 |
L(r)(E,1)/r! |
Ω |
0.56134745826732 |
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 |
115050t1 |
Quadratic twists by: 5 |