Atkin-Lehner |
2+ 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
17400d |
Isogeny class |
Conductor |
17400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
132131250000 = 24 · 36 · 58 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4404383,3559221012] |
[a1,a2,a3,a4,a6] |
j |
37795407757392787456/528525 |
j-invariant |
L |
2.1164644609154 |
L(r)(E,1)/r! |
Ω |
0.52911611522886 |
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 |
34800be1 52200bp1 3480s1 |
Quadratic twists by: -4 -3 5 |