Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360ia |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
1154993837319168000 = 213 · 3 · 53 · 710 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4174016800,-103797101039500] |
[a1,a2,a3,a4,a6] |
j |
16689299266861680229173649/2396798250 |
j-invariant |
L |
2.7047263231106 |
L(r)(E,1)/r! |
Ω |
0.018782829078217 |
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 |
16170bn8 18480bm8 |
Quadratic twists by: -4 -7 |