Atkin-Lehner |
2- 3+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47424cc |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-92361152212992 = -1 · 212 · 37 · 134 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 -2 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7383,-395127] |
[a1,a2,a3,a4,a6] |
j |
10864344905792/22549109427 |
j-invariant |
L |
0.62696717126227 |
L(r)(E,1)/r! |
Ω |
0.31348358559647 |
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 |
47424df2 23712u1 |
Quadratic twists by: -4 8 |