Atkin-Lehner |
3- 5+ 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122265l |
Isogeny class |
Conductor |
122265 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.8050487120525E+19 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 11- 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1196348,-460011778] |
[a1,a2,a3,a4,a6] |
Generators |
[-630:6898:1] |
Generators of the group modulo torsion |
j |
259757698172722160761/24760613334053025 |
j-invariant |
L |
2.6238581200691 |
L(r)(E,1)/r! |
Ω |
0.14523931677127 |
Real period |
R |
2.258219584908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999985905 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40755s2 |
Quadratic twists by: -3 |