Atkin-Lehner |
2- 3- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
114192bq |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
7723644157008 = 24 · 310 · 133 · 612 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -4 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4944,4943] |
[a1,a2,a3,a4,a6] |
j |
1145807306752/662177997 |
j-invariant |
L |
1.2570007187434 |
L(r)(E,1)/r! |
Ω |
0.62850075725615 |
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 |
28548c1 38064t1 |
Quadratic twists by: -4 -3 |