Atkin-Lehner |
2- 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
82880bo |
Isogeny class |
Conductor |
82880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1819381760000 = 215 · 54 · 74 · 37 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 0 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3212,-26416] |
[a1,a2,a3,a4,a6] |
j |
111840831432/55523125 |
j-invariant |
L |
2.6698178136349 |
L(r)(E,1)/r! |
Ω |
0.66745445797377 |
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 |
82880bs4 41440a3 |
Quadratic twists by: -4 8 |