Atkin-Lehner |
2+ 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200cf |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-9390654000 = -1 · 24 · 34 · 53 · 73 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,377,-3592] |
[a1,a2,a3,a4,a6] |
j |
2955053056/4695327 |
j-invariant |
L |
2.7348075858048 |
L(r)(E,1)/r! |
Ω |
0.68370197715692 |
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 |
54600bx1 109200bf1 |
Quadratic twists by: -4 5 |