Atkin-Lehner |
2+ 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742y |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
97320960 |
Modular degree for the optimal curve |
Δ |
-5.5272397491825E+28 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-790026156,14177483380944] |
[a1,a2,a3,a4,a6] |
j |
-505304979693115442833/512169554353324032 |
j-invariant |
L |
1.0295775638694 |
L(r)(E,1)/r! |
Ω |
0.032174307312004 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34914be1 4554k1 |
Quadratic twists by: -3 -23 |