Atkin-Lehner |
2+ 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490bi |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34997760 |
Modular degree for the optimal curve |
Δ |
-9.3980042913488E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -3 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-465627744,3895428215808] |
[a1,a2,a3,a4,a6] |
j |
-18685115827009/157286400 |
j-invariant |
L |
0.48355756018609 |
L(r)(E,1)/r! |
Ω |
0.060444705792227 |
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 |
28830bm1 86490y1 |
Quadratic twists by: -3 -31 |