Atkin-Lehner |
2+ 3+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86592a |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
4 |
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] |
Generators |
[416520:102799:512] |
Generators of the group modulo torsion |
j |
3195392484115617625/1508779008 |
j-invariant |
L |
3.6528084901046 |
L(r)(E,1)/r! |
Ω |
0.43586068788925 |
Real period |
R |
8.3806789435315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002185 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86592dg1 2706g1 |
Quadratic twists by: -4 8 |