Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86700bw |
Isogeny class |
Conductor |
86700 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-3116009298093750000 = -1 · 24 · 35 · 59 · 177 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 5 4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-276958,101693213] |
[a1,a2,a3,a4,a6] |
j |
-3114752/4131 |
j-invariant |
L |
4.5579775349014 |
L(r)(E,1)/r! |
Ω |
0.22789887596781 |
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 |
86700v1 5100i1 |
Quadratic twists by: 5 17 |