Atkin-Lehner |
2- 3+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
114192bf |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-198042157872 = -1 · 24 · 39 · 132 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 4 0 -2 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,972,17955] |
[a1,a2,a3,a4,a6] |
j |
322486272/628849 |
j-invariant |
L |
5.5463859955534 |
L(r)(E,1)/r! |
Ω |
0.69329835243944 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28548a1 114192bg1 |
Quadratic twists by: -4 -3 |