Atkin-Lehner |
2- 3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86190bw |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1557504 |
Modular degree for the optimal curve |
Δ |
591397023283150500 = 22 · 38 · 53 · 139 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -4 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-215901,-11133777] |
[a1,a2,a3,a4,a6] |
Generators |
[602411126872:-26912863602313:292754944] |
Generators of the group modulo torsion |
j |
104953669813/55768500 |
j-invariant |
L |
8.7206079850142 |
L(r)(E,1)/r! |
Ω |
0.23526416946529 |
Real period |
R |
18.533650930457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981505 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86190t1 |
Quadratic twists by: 13 |