Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
5472u |
Isogeny class |
Conductor |
5472 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-134374950383616 = -1 · 212 · 314 · 193 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 5 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13512,-822512] |
[a1,a2,a3,a4,a6] |
j |
-91368216064/45001899 |
j-invariant |
L |
2.5960685672325 |
L(r)(E,1)/r! |
Ω |
0.21633904726938 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5472e1 10944r1 1824d1 103968w1 |
Quadratic twists by: -4 8 -3 -19 |