Atkin-Lehner |
2+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
46240n |
Isogeny class |
Conductor |
46240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
2232242381120 = 26 · 5 · 178 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-556710,-160064780] |
[a1,a2,a3,a4,a6] |
j |
12352022024896/1445 |
j-invariant |
L |
0.69912080833852 |
L(r)(E,1)/r! |
Ω |
0.17478020206391 |
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 |
46240bc1 92480o2 2720c1 |
Quadratic twists by: -4 8 17 |