Atkin-Lehner |
2- 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200dw |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-6210750000 = -1 · 24 · 3 · 56 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-733,-8288] |
[a1,a2,a3,a4,a6] |
j |
-174456832/24843 |
j-invariant |
L |
0.9102455867801 |
L(r)(E,1)/r! |
Ω |
0.45512311942331 |
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 |
27300m1 4368v1 |
Quadratic twists by: -4 5 |