Atkin-Lehner |
3+ 5+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
86775b |
Isogeny class |
Conductor |
86775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
429637939453125 = 32 · 512 · 133 · 89 |
Discriminant |
Eigenvalues |
0 3+ 5+ -5 0 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2843283,-1844400157] |
[a1,a2,a3,a4,a6] |
Generators |
[-973:12:1] [1953:6928:1] |
Generators of the group modulo torsion |
j |
162691215568606756864/27496828125 |
j-invariant |
L |
6.1860085064552 |
L(r)(E,1)/r! |
Ω |
0.1162638028895 |
Real period |
R |
13.301664733854 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993191 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17355j2 |
Quadratic twists by: 5 |