Atkin-Lehner |
2- 3+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
86190bu |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
125798400 |
Modular degree for the optimal curve |
Δ |
-9.2362111883779E+29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 1 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1451374954,-41049092752621] |
[a1,a2,a3,a4,a6] |
Generators |
[5843129501:12240295480873:1331] |
Generators of the group modulo torsion |
j |
414491631408272360789951/1132262271188620848000 |
j-invariant |
L |
6.9942248312392 |
L(r)(E,1)/r! |
Ω |
0.014375469838557 |
Real period |
R |
17.376388165265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86190p1 |
Quadratic twists by: 13 |