Atkin-Lehner |
2- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17918a |
Isogeny class |
Conductor |
17918 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
297353784393728 = 216 · 173 · 314 |
Discriminant |
Eigenvalues |
2- 0 0 0 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-325630,-71434867] |
[a1,a2,a3,a4,a6] |
j |
777228872334890625/60523872256 |
j-invariant |
L |
3.1977209959058 |
L(r)(E,1)/r! |
Ω |
0.19985756224411 |
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 |
17918d1 |
Quadratic twists by: 17 |