Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840ct |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
26726400 = 212 · 32 · 52 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -2 6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1385,-19383] |
[a1,a2,a3,a4,a6] |
Generators |
[104:975:1] |
Generators of the group modulo torsion |
j |
71783828416/6525 |
j-invariant |
L |
5.439568812252 |
L(r)(E,1)/r! |
Ω |
0.78255226422456 |
Real period |
R |
3.4755306839742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27840dv2 13920z1 83520ev2 |
Quadratic twists by: -4 8 -3 |