Atkin-Lehner |
2+ 5+ 23- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
118450d |
Isogeny class |
Conductor |
118450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
411648 |
Modular degree for the optimal curve |
Δ |
57836914062500 = 22 · 514 · 23 · 103 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 4 -6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11650,312000] |
[a1,a2,a3,a4,a6] |
j |
11192824869409/3701562500 |
j-invariant |
L |
1.1545587564199 |
L(r)(E,1)/r! |
Ω |
0.57727951214089 |
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 |
23690e1 |
Quadratic twists by: 5 |