Atkin-Lehner |
2+ 3- 5+ 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
122130r |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
494868352573440000 = 216 · 38 · 54 · 232 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3126645,-2126921675] |
[a1,a2,a3,a4,a6] |
j |
4636945424195872791121/678831759360000 |
j-invariant |
L |
1.8165779468068 |
L(r)(E,1)/r! |
Ω |
0.11353603405122 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40710s2 |
Quadratic twists by: -3 |