Atkin-Lehner |
2- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84800bm |
Isogeny class |
Conductor |
84800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-179776000000000000 = -1 · 218 · 512 · 532 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 0 -6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-212300,-42822000] |
[a1,a2,a3,a4,a6] |
j |
-258353141409/43890625 |
j-invariant |
L |
0.4407339179236 |
L(r)(E,1)/r! |
Ω |
0.11018349214758 |
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 |
84800a2 21200o2 16960r2 |
Quadratic twists by: -4 8 5 |