Atkin-Lehner |
2- 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76440cd |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3.512925609375E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8377840,-2404941188] |
[a1,a2,a3,a4,a6] |
j |
539798599042964356/291595458984375 |
j-invariant |
L |
3.0253352577906 |
L(r)(E,1)/r! |
Ω |
0.094541727059625 |
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 |
10920p3 |
Quadratic twists by: -7 |