Atkin-Lehner |
2- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
22720bi |
Isogeny class |
Conductor |
22720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
16518348800 = 217 · 52 · 712 |
Discriminant |
Eigenvalues |
2- 0 5- -4 -2 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4172,-103536] |
[a1,a2,a3,a4,a6] |
Generators |
[108:840:1] |
Generators of the group modulo torsion |
j |
61269831378/126025 |
j-invariant |
L |
4.1359366291238 |
L(r)(E,1)/r! |
Ω |
0.59411038967334 |
Real period |
R |
3.4807812664224 |
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 |
22720s2 5680b2 113600bw2 |
Quadratic twists by: -4 8 5 |