Atkin-Lehner |
2- 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
113256bi |
Isogeny class |
Conductor |
113256 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
22763510085888 = 28 · 33 · 117 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 4 2 11- 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-225423,41194450] |
[a1,a2,a3,a4,a6] |
j |
103456682352/1859 |
j-invariant |
L |
4.9753571452893 |
L(r)(E,1)/r! |
Ω |
0.62191961011706 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113256h1 10296a1 |
Quadratic twists by: -3 -11 |