Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115600bi |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-42018680115200 = -1 · 212 · 52 · 177 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 -4 1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13968,-712492] |
[a1,a2,a3,a4,a6] |
j |
-121945/17 |
j-invariant |
L |
0.87155455900369 |
L(r)(E,1)/r! |
Ω |
0.21788861438154 |
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 |
7225c1 115600cw1 6800k1 |
Quadratic twists by: -4 5 17 |