Atkin-Lehner |
2+ 3- 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
105774j |
Isogeny class |
Conductor |
105774 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1370880 |
Modular degree for the optimal curve |
Δ |
-39844103448474036 = -1 · 22 · 34 · 1710 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 4 -1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1045753,411640160] |
[a1,a2,a3,a4,a6] |
j |
-62736640489/19764 |
j-invariant |
L |
2.8457062899618 |
L(r)(E,1)/r! |
Ω |
0.35571328288273 |
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 |
105774h1 |
Quadratic twists by: 17 |