Atkin-Lehner |
2+ 3- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86190bd |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
61073199720 = 23 · 312 · 5 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 3 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1083,-6914] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:54:1] |
Generators of the group modulo torsion |
j |
830129403649/361379880 |
j-invariant |
L |
7.3199629980135 |
L(r)(E,1)/r! |
Ω |
0.86607654272001 |
Real period |
R |
0.7043221773646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002757 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86190cj1 |
Quadratic twists by: 13 |