Atkin-Lehner |
2- 3- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
51660f |
Isogeny class |
Conductor |
51660 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-6.5409099087537E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2166303,-38930779802] |
[a1,a2,a3,a4,a6] |
j |
-6024400306374340816/3504859990544485125 |
j-invariant |
L |
1.9638549250037 |
L(r)(E,1)/r! |
Ω |
0.040913644278248 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17220l2 |
Quadratic twists by: -3 |