Atkin-Lehner |
2- 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
43680bm |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
9.2270252346854E+18 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3946145,3014999025] |
[a1,a2,a3,a4,a6] |
j |
1659139840046304225856/2252691707686875 |
j-invariant |
L |
2.763794591595 |
L(r)(E,1)/r! |
Ω |
0.23031621597792 |
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 |
43680ca2 87360gf1 |
Quadratic twists by: -4 8 |