Atkin-Lehner |
2- 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840cf |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
124010496000000 = 220 · 32 · 56 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17121,681345] |
[a1,a2,a3,a4,a6] |
j |
2117368939321/473062500 |
j-invariant |
L |
1.1080985677943 |
L(r)(E,1)/r! |
Ω |
0.55404928389716 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27840bg2 6960bl2 83520ge2 |
Quadratic twists by: -4 8 -3 |