Atkin-Lehner |
2+ 3- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
51912f |
Isogeny class |
Conductor |
51912 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3.0402049278002E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1317459,-1021040242] |
[a1,a2,a3,a4,a6] |
j |
-169386017544469154/203631695802801 |
j-invariant |
L |
2.4250752629876 |
L(r)(E,1)/r! |
Ω |
0.067363201744438 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
36 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103824q3 17304d4 |
Quadratic twists by: -4 -3 |