Atkin-Lehner |
2- 5- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
36040c |
Isogeny class |
Conductor |
36040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
44032 |
Modular degree for the optimal curve |
Δ |
858484332800 = 28 · 52 · 17 · 534 |
Discriminant |
Eigenvalues |
2- 0 5- -4 -4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3887,-81934] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:80:1] |
Generators of the group modulo torsion |
j |
25370403164496/3353454425 |
j-invariant |
L |
3.8084269256839 |
L(r)(E,1)/r! |
Ω |
0.60991754945455 |
Real period |
R |
3.1220834103631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
72080b1 |
Quadratic twists by: -4 |