Atkin-Lehner |
2- 3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
86190cr |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-2080913382141750 = -1 · 2 · 33 · 53 · 137 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 3 13+ 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-49436,-4770234] |
[a1,a2,a3,a4,a6] |
j |
-2768178670921/431115750 |
j-invariant |
L |
5.7141612901148 |
L(r)(E,1)/r! |
Ω |
0.15872670441892 |
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 |
6630m1 |
Quadratic twists by: 13 |