Atkin-Lehner |
2+ 3+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
114192c |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-51945484032 = -1 · 28 · 39 · 132 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,81,-10962] |
[a1,a2,a3,a4,a6] |
j |
11664/10309 |
j-invariant |
L |
4.1914538605444 |
L(r)(E,1)/r! |
Ω |
0.52393170728614 |
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 |
57096k1 114192d1 |
Quadratic twists by: -4 -3 |