Atkin-Lehner |
3- 5- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
119145o |
Isogeny class |
Conductor |
119145 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-168412940974395 = -1 · 35 · 5 · 137 · 472 |
Discriminant |
Eigenvalues |
0 3- 5- -1 3 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-159085,-24483689] |
[a1,a2,a3,a4,a6] |
j |
-92247376789504/34891155 |
j-invariant |
L |
2.3904636505382 |
L(r)(E,1)/r! |
Ω |
0.11952318840765 |
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 |
9165a1 |
Quadratic twists by: 13 |