Atkin-Lehner |
3- 5- 11+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122265v |
Isogeny class |
Conductor |
122265 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.8621363210242E+19 |
Discriminant |
Eigenvalues |
1 3- 5- 0 11+ 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1507194,681643075] |
[a1,a2,a3,a4,a6] |
j |
519402236809944597409/25543708107328125 |
j-invariant |
L |
2.5795144689883 |
L(r)(E,1)/r! |
Ω |
0.21495949504376 |
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 |
40755e2 |
Quadratic twists by: -3 |