Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
27720bs |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
960 |
Product of Tamagawa factors cp |
Δ |
6.8088093905601E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36631587,-75538735666] |
[a1,a2,a3,a4,a6] |
j |
7282213870869695463556/912102595400390625 |
j-invariant |
L |
3.7123198457645 |
L(r)(E,1)/r! |
Ω |
0.06187199742942 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55440bb2 9240b2 |
Quadratic twists by: -4 -3 |