Atkin-Lehner |
2- 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480cd |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-6.48221256144E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3034080,2071742400] |
[a1,a2,a3,a4,a6] |
j |
-754127868744065783521/15825714261328125 |
j-invariant |
L |
1.56916093703 |
L(r)(E,1)/r! |
Ω |
0.19614511712875 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1155m6 73920gd5 55440ct5 92400hd5 |
Quadratic twists by: -4 8 -3 5 |