Atkin-Lehner |
2- 3- 43- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
72756g |
Isogeny class |
Conductor |
72756 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22272 |
Modular degree for the optimal curve |
Δ |
23572944 = 24 · 36 · 43 · 47 |
Discriminant |
Eigenvalues |
2- 3- 1 -4 6 6 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72,-27] |
[a1,a2,a3,a4,a6] |
j |
3538944/2021 |
j-invariant |
L |
3.5490792976952 |
L(r)(E,1)/r! |
Ω |
1.7745396484531 |
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 |
8084c1 |
Quadratic twists by: -3 |