Atkin-Lehner |
2- 3- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
12078x |
Isogeny class |
Conductor |
12078 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
Δ |
-3.2824029049527E+20 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 11- 2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-88574,871755149] |
[a1,a2,a3,a4,a6] |
Generators |
[-243:29767:1] |
Generators of the group modulo torsion |
j |
-105416929096482457/450261029485960704 |
j-invariant |
L |
4.9155321625093 |
L(r)(E,1)/r! |
Ω |
0.1374566298851 |
Real period |
R |
0.49667506101321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
96624bn2 4026c2 |
Quadratic twists by: -4 -3 |