Atkin-Lehner |
2- 5- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117040cf |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
94247045200 = 24 · 52 · 7 · 116 · 19 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11+ 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1552,-18321] |
[a1,a2,a3,a4,a6] |
j |
25839189098496/5890440325 |
j-invariant |
L |
3.0923409087747 |
L(r)(E,1)/r! |
Ω |
0.77308514768184 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29260j1 |
Quadratic twists by: -4 |