Atkin-Lehner |
2+ 3- 5- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
22110i |
Isogeny class |
Conductor |
22110 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-3510867110407941240 = -1 · 23 · 36 · 5 · 113 · 676 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11+ -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,114767,-88889572] |
[a1,a2,a3,a4,a6] |
Generators |
[412:5120:1] [1618:65018:1] |
Generators of the group modulo torsion |
j |
167178429051269193719/3510867110407941240 |
j-invariant |
L |
6.4383834343452 |
L(r)(E,1)/r! |
Ω |
0.12146171958504 |
Real period |
R |
5.8897234420318 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66330bp4 110550be4 |
Quadratic twists by: -3 5 |