Atkin-Lehner |
2- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
44180h |
Isogeny class |
Conductor |
44180 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10200960 |
Modular degree for the optimal curve |
Δ |
-6.9900796238343E+24 |
Discriminant |
Eigenvalues |
2- -2 5- 2 0 5 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,47755635,6775964815] |
[a1,a2,a3,a4,a6] |
j |
4364861448544256/2533115602315 |
j-invariant |
L |
2.4251866799637 |
L(r)(E,1)/r! |
Ω |
0.044910864442094 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
940a1 |
Quadratic twists by: -47 |