Atkin-Lehner |
2- 3- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150eh |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-1.4316678291879E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 6 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-30134705,85845579297] |
[a1,a2,a3,a4,a6] |
j |
-265691081942695311553/125688259352575296 |
j-invariant |
L |
5.7284147523354 |
L(r)(E,1)/r! |
Ω |
0.079561319934277 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37050g2 4446j2 |
Quadratic twists by: -3 5 |