Atkin-Lehner |
5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
50575r |
Isogeny class |
Conductor |
50575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
691455078125 = 511 · 72 · 172 |
Discriminant |
Eigenvalues |
2 2 5+ 7- -5 4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-11758,493043] |
[a1,a2,a3,a4,a6] |
j |
39814672384/153125 |
j-invariant |
L |
7.2784295523881 |
L(r)(E,1)/r! |
Ω |
0.90980369435296 |
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 |
10115j1 50575k1 |
Quadratic twists by: 5 17 |