Atkin-Lehner |
2+ 5- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86450u |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-1145427920000 = -1 · 27 · 54 · 73 · 133 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 6 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1124,49498] |
[a1,a2,a3,a4,a6] |
Generators |
[86:842:1] |
Generators of the group modulo torsion |
j |
251592641975/1832684672 |
j-invariant |
L |
6.5662560346201 |
L(r)(E,1)/r! |
Ω |
0.63219925456232 |
Real period |
R |
3.4621236807074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000637 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
86450bc1 |
Quadratic twists by: 5 |