Atkin-Lehner |
2+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
81200k |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
14210000000000 = 210 · 510 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- -4 6 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14008,616512] |
[a1,a2,a3,a4,a6] |
j |
19000416964/888125 |
j-invariant |
L |
5.5671973400654 |
L(r)(E,1)/r! |
Ω |
0.69589966659664 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40600n2 16240g2 |
Quadratic twists by: -4 5 |