Atkin-Lehner |
3+ 5+ 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
125925i |
Isogeny class |
Conductor |
125925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
-4787904609375 = -1 · 3 · 57 · 234 · 73 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3838,-141094] |
[a1,a2,a3,a4,a6] |
j |
-400152624409/306425895 |
j-invariant |
L |
0.58710802963042 |
L(r)(E,1)/r! |
Ω |
0.29355483403112 |
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 |
25185d1 |
Quadratic twists by: 5 |