Atkin-Lehner |
3- 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
111825g |
Isogeny class |
Conductor |
111825 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10229760 |
Modular degree for the optimal curve |
Δ |
-1238607326126953125 = -1 · 312 · 59 · 75 · 71 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 5 0 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-176248917,-900568085634] |
[a1,a2,a3,a4,a6] |
j |
-53156396270339108473609/108739189125 |
j-invariant |
L |
4.06063558632 |
L(r)(E,1)/r! |
Ω |
0.020717528482346 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37275i1 22365l1 |
Quadratic twists by: -3 5 |