Atkin-Lehner |
2+ 3+ 5- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
117150j |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
-272162880000 = -1 · 29 · 32 · 54 · 113 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11+ -2 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1500,-10800] |
[a1,a2,a3,a4,a6] |
j |
596574935975/435460608 |
j-invariant |
L |
1.0987550423132 |
L(r)(E,1)/r! |
Ω |
0.549377032302 |
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 |
117150bx1 |
Quadratic twists by: 5 |