Atkin-Lehner |
2+ 3+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
122034b |
Isogeny class |
Conductor |
122034 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.7059070950033E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1969793359,33648708821353] |
[a1,a2,a3,a4,a6] |
j |
133713416563031354522257/42805753664652 |
j-invariant |
L |
1.4193267161794 |
L(r)(E,1)/r! |
Ω |
0.078851546598444 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2838e5 |
Quadratic twists by: -43 |