Atkin-Lehner |
2- 3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
86190ct |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
2471040 |
Modular degree for the optimal curve |
Δ |
-3.0597967982869E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -1 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,113649,265737081] |
[a1,a2,a3,a4,a6] |
j |
1177570199/221952000 |
j-invariant |
L |
3.5462571589697 |
L(r)(E,1)/r! |
Ω |
0.1611935069207 |
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 |
86190bn1 |
Quadratic twists by: 13 |