Atkin-Lehner |
3- 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
17775x |
Isogeny class |
Conductor |
17775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4561920 |
Modular degree for the optimal curve |
Δ |
-1.0779393579835E+25 |
Discriminant |
Eigenvalues |
-1 3- 5+ -5 -1 -3 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,29141995,-145903754878] |
[a1,a2,a3,a4,a6] |
j |
240289066260405262079/946339079711203125 |
j-invariant |
L |
0.14612605877179 |
L(r)(E,1)/r! |
Ω |
0.036531514692948 |
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 |
5925f1 3555c1 |
Quadratic twists by: -3 5 |