Atkin-Lehner |
2+ 3- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
86190bl |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1872000 |
Modular degree for the optimal curve |
Δ |
-290441649212391690 = -1 · 2 · 36 · 5 · 1310 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 -5 13+ 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-214803,-46284704] |
[a1,a2,a3,a4,a6] |
j |
-7950753889/2106810 |
j-invariant |
L |
1.3124061913139 |
L(r)(E,1)/r! |
Ω |
0.10936718651113 |
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 |
86190cs1 |
Quadratic twists by: 13 |