Atkin-Lehner |
2- 3+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
115434bl |
Isogeny class |
Conductor |
115434 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-244375624944 = -1 · 24 · 39 · 114 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 3 -5 11- -2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1429,11179] |
[a1,a2,a3,a4,a6] |
j |
1120581/848 |
j-invariant |
L |
5.0552870261374 |
L(r)(E,1)/r! |
Ω |
0.6319109771829 |
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 |
115434g1 115434l1 |
Quadratic twists by: -3 -11 |