Atkin-Lehner |
2+ 3- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
86190bn |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-6339171072000 = -1 · 211 · 3 · 53 · 134 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 1 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,672,121006] |
[a1,a2,a3,a4,a6] |
j |
1177570199/221952000 |
j-invariant |
L |
3.4871488062832 |
L(r)(E,1)/r! |
Ω |
0.58119145447443 |
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 |
86190ct1 |
Quadratic twists by: 13 |