Atkin-Lehner |
2+ 3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
86190bb |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
2096640 |
Modular degree for the optimal curve |
Δ |
-2062307568372012000 = -1 · 25 · 37 · 53 · 138 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -3 13+ 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-474049,143333972] |
[a1,a2,a3,a4,a6] |
Generators |
[-662:13259:1] |
Generators of the group modulo torsion |
j |
-14442596600809/2528172000 |
j-invariant |
L |
6.6596879413077 |
L(r)(E,1)/r! |
Ω |
0.25150556923715 |
Real period |
R |
0.63045919415264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000608 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86190cz1 |
Quadratic twists by: 13 |