Atkin-Lehner |
2+ 3+ 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
86190l |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
658944 |
Modular degree for the optimal curve |
Δ |
4672766603718720 = 26 · 34 · 5 · 139 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 4 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-56618,3985428] |
[a1,a2,a3,a4,a6] |
Generators |
[821:22211:1] |
Generators of the group modulo torsion |
j |
1892819053/440640 |
j-invariant |
L |
4.6400481154589 |
L(r)(E,1)/r! |
Ω |
0.40863010833288 |
Real period |
R |
5.6775651448045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999894008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86190ch1 |
Quadratic twists by: 13 |