Atkin-Lehner |
2- 3- 5- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
88110cm |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
3985292972216259000 = 23 · 36 · 53 · 11 · 896 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-660182,-182597011] |
[a1,a2,a3,a4,a6] |
Generators |
[967:8601:1] |
Generators of the group modulo torsion |
j |
43650236809138013209/5466794200571000 |
j-invariant |
L |
11.603045276662 |
L(r)(E,1)/r! |
Ω |
0.16886587536164 |
Real period |
R |
5.7259670562287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000019849 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
9790c4 |
Quadratic twists by: -3 |