Atkin-Lehner |
3+ 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
125775h |
Isogeny class |
Conductor |
125775 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
3065765625 = 33 · 56 · 132 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 -2 13- 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11330,-461328] |
[a1,a2,a3,a4,a6] |
j |
381235834251/7267 |
j-invariant |
L |
1.8509957727331 |
L(r)(E,1)/r! |
Ω |
0.46274908490637 |
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 |
125775g1 5031a1 |
Quadratic twists by: -3 5 |