Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86490z |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19284480 |
Modular degree for the optimal curve |
Δ |
-1.5664709347039E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -5 6 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-35296749,82938903205] |
[a1,a2,a3,a4,a6] |
Generators |
[6689:378872:1] |
Generators of the group modulo torsion |
j |
-7821800952529/251942400 |
j-invariant |
L |
3.1350950250691 |
L(r)(E,1)/r! |
Ω |
0.10200098027039 |
Real period |
R |
7.6839825692281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002329 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28830w1 86490bj1 |
Quadratic twists by: -3 -31 |