Atkin-Lehner |
2- 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27280n |
Isogeny class |
Conductor |
27280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
180096012800000 = 212 · 55 · 114 · 312 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 11- -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-265416,-52538320] |
[a1,a2,a3,a4,a6] |
Generators |
[596:792:1] |
Generators of the group modulo torsion |
j |
504831795225826249/43968753125 |
j-invariant |
L |
6.0745709147934 |
L(r)(E,1)/r! |
Ω |
0.2103390523875 |
Real period |
R |
3.6099875687864 |
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 |
1705a2 109120bh2 |
Quadratic twists by: -4 8 |