Atkin-Lehner |
2- 3+ 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
33660b |
Isogeny class |
Conductor |
33660 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
66626939253600000 = 28 · 39 · 55 · 114 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11+ 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-431487,108384534] |
[a1,a2,a3,a4,a6] |
j |
1763175738732912/13222653125 |
j-invariant |
L |
3.4984473316649 |
L(r)(E,1)/r! |
Ω |
0.34984473316719 |
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 |
33660a2 |
Quadratic twists by: -3 |