Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
126852m |
Isogeny class |
Conductor |
126852 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
1.1604084473703E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- 6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14349972,20853963492] |
[a1,a2,a3,a4,a6] |
Generators |
[163855:8194494:125] |
Generators of the group modulo torsion |
j |
1438357277593168/5107410363 |
j-invariant |
L |
12.377000168052 |
L(r)(E,1)/r! |
Ω |
0.15491503949296 |
Real period |
R |
8.877267510334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999559471 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4092c2 |
Quadratic twists by: -31 |