Atkin-Lehner |
3- 41- 43- |
Signs for the Atkin-Lehner involutions |
Class |
15867h |
Isogeny class |
Conductor |
15867 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
-936930483 = -1 · 312 · 41 · 43 |
Discriminant |
Eigenvalues |
2 3- -2 -3 6 6 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-8301,-291105] |
[a1,a2,a3,a4,a6] |
j |
-86773562011648/1285227 |
j-invariant |
L |
4.0013501038779 |
L(r)(E,1)/r! |
Ω |
0.25008438149237 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5289c1 |
Quadratic twists by: -3 |