Atkin-Lehner |
2+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
116272k |
Isogeny class |
Conductor |
116272 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
509184 |
Modular degree for the optimal curve |
Δ |
-1544484969604096 = -1 · 210 · 138 · 432 |
Discriminant |
Eigenvalues |
2+ -2 1 2 0 13+ -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-185280,-30816668] |
[a1,a2,a3,a4,a6] |
j |
-842102404/1849 |
j-invariant |
L |
1.8406663541166 |
L(r)(E,1)/r! |
Ω |
0.11504164756939 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58136j1 116272l1 |
Quadratic twists by: -4 13 |