Atkin-Lehner |
2+ 3+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
115632b |
Isogeny class |
Conductor |
115632 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-44508144384 = -1 · 28 · 39 · 112 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 3 4 11- -4 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2916,61452] |
[a1,a2,a3,a4,a6] |
j |
-544195584/8833 |
j-invariant |
L |
4.5619848775759 |
L(r)(E,1)/r! |
Ω |
1.1404959899564 |
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 |
57816g1 115632a1 |
Quadratic twists by: -4 -3 |