Atkin-Lehner |
2- 5+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
45050j |
Isogeny class |
Conductor |
45050 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
142560 |
Modular degree for the optimal curve |
Δ |
-5085722656250 = -1 · 2 · 510 · 173 · 53 |
Discriminant |
Eigenvalues |
2- -3 5+ -1 0 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,195,108447] |
[a1,a2,a3,a4,a6] |
j |
84375/520778 |
j-invariant |
L |
0.60373730998991 |
L(r)(E,1)/r! |
Ω |
0.60373730955249 |
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 |
45050g1 |
Quadratic twists by: 5 |