Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5202b |
Isogeny class |
Conductor |
5202 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
6202902605306112 = 28 · 310 · 177 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-88488,-9374144] |
[a1,a2,a3,a4,a6] |
j |
4354703137/352512 |
j-invariant |
L |
0.55646114412364 |
L(r)(E,1)/r! |
Ω |
0.27823057206182 |
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 |
41616ci1 1734i1 306c1 |
Quadratic twists by: -4 -3 17 |