Atkin-Lehner |
5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
52855k |
Isogeny class |
Conductor |
52855 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
8665600 |
Modular degree for the optimal curve |
Δ |
-1.0742875933647E+24 |
Discriminant |
Eigenvalues |
2 1 5- -4 11- 2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-11157220,-51893394369] |
[a1,a2,a3,a4,a6] |
j |
-5155925809685196353536/36060810089111328125 |
j-invariant |
L |
3.6653354200868 |
L(r)(E,1)/r! |
Ω |
0.03665335420057 |
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 |
52855h1 |
Quadratic twists by: -31 |