Atkin-Lehner |
2- 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200fq |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-207421322035200 = -1 · 219 · 3 · 52 · 74 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 13- 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4472,684788] |
[a1,a2,a3,a4,a6] |
j |
96567729935/2025598848 |
j-invariant |
L |
5.0524178941305 |
L(r)(E,1)/r! |
Ω |
0.42103478379723 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13650m1 109200ex1 |
Quadratic twists by: -4 5 |