Atkin-Lehner |
2- 5+ 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
86450bh |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
116880400000000 = 210 · 58 · 7 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 13+ -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-150855,-22508353] |
[a1,a2,a3,a4,a6] |
j |
24298536380201721/7480345600 |
j-invariant |
L |
2.4225227561001 |
L(r)(E,1)/r! |
Ω |
0.24225228143671 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17290g1 |
Quadratic twists by: 5 |