Atkin-Lehner |
2- 3- 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61050ch |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
2058377062500 = 22 · 37 · 56 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11913,-496683] |
[a1,a2,a3,a4,a6] |
j |
11966561852617/131736132 |
j-invariant |
L |
6.4019311077134 |
L(r)(E,1)/r! |
Ω |
0.45728079302047 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2442b1 |
Quadratic twists by: 5 |