Atkin-Lehner |
2- 3- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89670bz |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-124108341871500000 = -1 · 25 · 34 · 56 · 77 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11516,-16957200] |
[a1,a2,a3,a4,a6] |
j |
-1435630901041/1054903500000 |
j-invariant |
L |
5.9528197430809 |
L(r)(E,1)/r! |
Ω |
0.14882050075162 |
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 |
12810r2 |
Quadratic twists by: -7 |