Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57800u |
Isogeny class |
Conductor |
57800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-19652000000000 = -1 · 211 · 59 · 173 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 2 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19408,1068812] |
[a1,a2,a3,a4,a6] |
j |
-5142706/125 |
j-invariant |
L |
2.7365662646041 |
L(r)(E,1)/r! |
Ω |
0.68414156682291 |
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 |
115600e1 11560b1 57800t1 |
Quadratic twists by: -4 5 17 |