Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
45600q |
Isogeny class |
Conductor |
45600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-1083000000 = -1 · 26 · 3 · 56 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 6 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-58,-1612] |
[a1,a2,a3,a4,a6] |
j |
-21952/1083 |
j-invariant |
L |
5.4402504645345 |
L(r)(E,1)/r! |
Ω |
0.68003130809856 |
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 |
45600h1 91200gj2 1824f1 |
Quadratic twists by: -4 8 5 |