Atkin-Lehner |
2+ 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66066be |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1.0293273858568E+29 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1999971977,37727881185674] |
[a1,a2,a3,a4,a6] |
j |
-499389414448500029215603297/58102847480656897356438 |
j-invariant |
L |
2.0880727561258 |
L(r)(E,1)/r! |
Ω |
0.032626136931397 |
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 |
6006bd6 |
Quadratic twists by: -11 |