Atkin-Lehner |
2- 3- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
100572j |
Isogeny class |
Conductor |
100572 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
757248 |
Modular degree for the optimal curve |
Δ |
-76594486374894336 = -1 · 28 · 3 · 179 · 292 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 3 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-52405,14075927] |
[a1,a2,a3,a4,a6] |
j |
-524288/2523 |
j-invariant |
L |
3.5836919555689 |
L(r)(E,1)/r! |
Ω |
0.2986409739593 |
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 |
100572a1 |
Quadratic twists by: 17 |