Atkin-Lehner |
2- 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080fn |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-19039589498880 = -1 · 219 · 311 · 5 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 2 -4 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,209936] |
[a1,a2,a3,a4,a6] |
j |
-1/99630 |
j-invariant |
L |
2.1833443926341 |
L(r)(E,1)/r! |
Ω |
0.54583627588143 |
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 |
118080ce1 29520bk1 39360bw1 |
Quadratic twists by: -4 8 -3 |