Atkin-Lehner |
2- 3+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
45012g |
Isogeny class |
Conductor |
45012 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
-2.9925455466852E+21 |
Discriminant |
Eigenvalues |
2- 3+ 3 -2 11- 1 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1267556,-2574422024] |
[a1,a2,a3,a4,a6] |
j |
4104340555568/54532991529 |
j-invariant |
L |
1.6769222651726 |
L(r)(E,1)/r! |
Ω |
0.069871761053178 |
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 |
45012f1 |
Quadratic twists by: -11 |