Atkin-Lehner |
2+ 11+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
115258d |
Isogeny class |
Conductor |
115258 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1249920 |
Modular degree for the optimal curve |
Δ |
-151559420202921016 = -1 · 23 · 11 · 1311 · 312 |
Discriminant |
Eigenvalues |
2+ 0 -3 3 11+ 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-357551,84485701] |
[a1,a2,a3,a4,a6] |
j |
-1047317288239377/31399506424 |
j-invariant |
L |
1.2949337908124 |
L(r)(E,1)/r! |
Ω |
0.3237333409878 |
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 |
8866j1 |
Quadratic twists by: 13 |