Atkin-Lehner |
2+ 3- 5+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
122550q |
Isogeny class |
Conductor |
122550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
1838250000 = 24 · 32 · 56 · 19 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-326,-952] |
[a1,a2,a3,a4,a6] |
j |
244140625/117648 |
j-invariant |
L |
2.3585783269738 |
L(r)(E,1)/r! |
Ω |
1.1792892157765 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4902j1 |
Quadratic twists by: 5 |