Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50700a |
Isogeny class |
Conductor |
50700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
870912 |
Modular degree for the optimal curve |
Δ |
-3.6068260808234E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 3 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-275188,294334312] |
[a1,a2,a3,a4,a6] |
j |
-74605986640/1167575877 |
j-invariant |
L |
2.0885823003838 |
L(r)(E,1)/r! |
Ω |
0.17404852503826 |
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 |
50700bj1 3900b1 |
Quadratic twists by: 5 13 |