Atkin-Lehner |
2- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
22720bb |
Isogeny class |
Conductor |
22720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
23648394949427200 = 219 · 52 · 715 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 2 1 8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11606721,15223789921] |
[a1,a2,a3,a4,a6] |
j |
659648323242974383921/90211467550 |
j-invariant |
L |
1.182696400487 |
L(r)(E,1)/r! |
Ω |
0.29567410012174 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22720g2 5680h2 113600bz2 |
Quadratic twists by: -4 8 5 |