Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600ew |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
847872 |
Modular degree for the optimal curve |
Δ |
-174711538660147200 = -1 · 235 · 38 · 52 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -3 -1 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,133845,-7014310] |
[a1,a2,a3,a4,a6] |
j |
3552243132335/2340421632 |
j-invariant |
L |
2.9286580352084 |
L(r)(E,1)/r! |
Ω |
0.18304115617866 |
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 |
13950cg1 37200bw1 111600gk1 |
Quadratic twists by: -4 -3 5 |