Atkin-Lehner |
2- 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86592dg |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
395517364273152 = 228 · 33 · 113 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1963873,-1059952609] |
[a1,a2,a3,a4,a6] |
j |
3195392484115617625/1508779008 |
j-invariant |
L |
4.5911732533041 |
L(r)(E,1)/r! |
Ω |
0.12753259559595 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86592a1 21648m1 |
Quadratic twists by: -4 8 |