Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720dt |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-5253341681664000 = -1 · 214 · 39 · 53 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,23172,-3212048] |
[a1,a2,a3,a4,a6] |
j |
115203799856/439833375 |
j-invariant |
L |
3.4936255575359 |
L(r)(E,1)/r! |
Ω |
0.21835159735589 |
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 |
54720o1 13680t1 18240cs1 |
Quadratic twists by: -4 8 -3 |