Atkin-Lehner |
2- 5+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
50150t |
Isogeny class |
Conductor |
50150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
33508625200 = 24 · 52 · 175 · 59 |
Discriminant |
Eigenvalues |
2- 1 5+ 0 0 -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1363,17137] |
[a1,a2,a3,a4,a6] |
j |
11201886945625/1340345008 |
j-invariant |
L |
4.5039692130968 |
L(r)(E,1)/r! |
Ω |
1.1259923033077 |
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 |
50150q1 |
Quadratic twists by: 5 |