Atkin-Lehner |
2- 3+ 5- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
115050bs |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
81792 |
Modular degree for the optimal curve |
Δ |
3774215250 = 2 · 39 · 53 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 3 13+ -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1023,-12669] |
[a1,a2,a3,a4,a6] |
j |
947255494661/30193722 |
j-invariant |
L |
1.6916336282454 |
L(r)(E,1)/r! |
Ω |
0.8458168019219 |
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 |
115050bh1 |
Quadratic twists by: 5 |