Atkin-Lehner |
3+ 5+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
86775a |
Isogeny class |
Conductor |
86775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5361881484375 = 33 · 57 · 134 · 89 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1602088,-781176094] |
[a1,a2,a3,a4,a6] |
Generators |
[-607290854:301167067:830584] |
Generators of the group modulo torsion |
j |
29104678444699468729/343160415 |
j-invariant |
L |
3.186979164106 |
L(r)(E,1)/r! |
Ω |
0.13419241281944 |
Real period |
R |
11.874662237338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031432 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17355i3 |
Quadratic twists by: 5 |