Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
69300bh |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.1189324179687E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7982175,7031695750] |
[a1,a2,a3,a4,a6] |
j |
19288565375865424/3837216796875 |
j-invariant |
L |
1.4524917845401 |
L(r)(E,1)/r! |
Ω |
0.12104098256073 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23100s2 13860w2 |
Quadratic twists by: -3 5 |