Atkin-Lehner |
2+ 3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86190u |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
23232 |
Modular degree for the optimal curve |
Δ |
-88258560 = -1 · 211 · 3 · 5 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 0 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-69,496] |
[a1,a2,a3,a4,a6] |
j |
-210525601/522240 |
j-invariant |
L |
1.6911052243275 |
L(r)(E,1)/r! |
Ω |
1.6911052692097 |
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 |
86190cv1 |
Quadratic twists by: 13 |