Atkin-Lehner |
2- 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
122760bs |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
894920400000000 = 210 · 38 · 58 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-591123,-174924322] |
[a1,a2,a3,a4,a6] |
Generators |
[-442:34:1] |
Generators of the group modulo torsion |
j |
30600590002159684/1198828125 |
j-invariant |
L |
5.9449904794385 |
L(r)(E,1)/r! |
Ω |
0.17217936870503 |
Real period |
R |
4.3159863351997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000398083 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40920k4 |
Quadratic twists by: -3 |