Atkin-Lehner |
3- 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
22725n |
Isogeny class |
Conductor |
22725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-34945013671875 = -1 · 311 · 59 · 101 |
Discriminant |
Eigenvalues |
1 3- 5- -1 -3 6 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13617,677916] |
[a1,a2,a3,a4,a6] |
j |
-196122941/24543 |
j-invariant |
L |
2.5348769522582 |
L(r)(E,1)/r! |
Ω |
0.63371923806456 |
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 |
7575h1 22725p1 |
Quadratic twists by: -3 5 |