Atkin-Lehner |
2+ 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
27720c |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3.684025086165E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14443203,36043655902] |
[a1,a2,a3,a4,a6] |
j |
-223180773010681046402/246754509479287425 |
j-invariant |
L |
0.69294511510244 |
L(r)(E,1)/r! |
Ω |
0.086618139387832 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440v5 9240bh6 |
Quadratic twists by: -4 -3 |