Atkin-Lehner |
2- 5- 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
108100m |
Isogeny class |
Conductor |
108100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
180576 |
Modular degree for the optimal curve |
Δ |
8129120000 = 28 · 54 · 23 · 472 |
Discriminant |
Eigenvalues |
2- -2 5- 3 3 3 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31508,-2163212] |
[a1,a2,a3,a4,a6] |
j |
21621211416400/50807 |
j-invariant |
L |
2.8667067330578 |
L(r)(E,1)/r! |
Ω |
0.35833832398405 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108100e1 |
Quadratic twists by: 5 |