Atkin-Lehner |
2- 3- 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
122010de |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1.3089236821326E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-46322151,-121476240369] |
[a1,a2,a3,a4,a6] |
Generators |
[2489792320169303967799860:-654740527810582522675443387:35782627133099488832] |
Generators of the group modulo torsion |
j |
-93433286736962902850401/111256677246093750 |
j-invariant |
L |
13.044062057652 |
L(r)(E,1)/r! |
Ω |
0.028932860587219 |
Real period |
R |
37.569917086435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999828502 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430bb2 |
Quadratic twists by: -7 |