Atkin-Lehner |
2+ 5- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86450t |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-82409813281250 = -1 · 2 · 58 · 7 · 133 · 193 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 0 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20826,-1238202] |
[a1,a2,a3,a4,a6] |
Generators |
[1899780:20545497:8000] |
Generators of the group modulo torsion |
j |
-2557121079865/210969122 |
j-invariant |
L |
5.9666755139629 |
L(r)(E,1)/r! |
Ω |
0.19777662874954 |
Real period |
R |
10.056253119158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999910928 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
86450ba1 |
Quadratic twists by: 5 |