Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360gn |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
8.5038782847778E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14137496,14887062420] |
[a1,a2,a3,a4,a6] |
Generators |
[3814:128304:1] |
Generators of the group modulo torsion |
j |
648474704552553481/176469171805080 |
j-invariant |
L |
7.6615361752679 |
L(r)(E,1)/r! |
Ω |
0.10062927788932 |
Real period |
R |
0.59481448042767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999541786 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170d4 18480cj4 |
Quadratic twists by: -4 -7 |