Atkin-Lehner |
2- 3+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
24156d |
Isogeny class |
Conductor |
24156 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
168192 |
Modular degree for the optimal curve |
Δ |
-63841246174533168 = -1 · 24 · 39 · 114 · 614 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11- 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,98280,-2673243] |
[a1,a2,a3,a4,a6] |
j |
333355696128000/202716958081 |
j-invariant |
L |
1.6207404498072 |
L(r)(E,1)/r! |
Ω |
0.20259255622591 |
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 |
96624v1 24156b1 |
Quadratic twists by: -4 -3 |