Atkin-Lehner |
2+ 3- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
86190bk |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
3818880 |
Modular degree for the optimal curve |
Δ |
-1.1587396159193E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -3 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7607708,-8078898982] |
[a1,a2,a3,a4,a6] |
j |
-59695049536532761/14204928000 |
j-invariant |
L |
0.81813005741338 |
L(r)(E,1)/r! |
Ω |
0.045451676544572 |
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 |
86190co1 |
Quadratic twists by: 13 |