Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66066cu |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
7372800 |
Modular degree for the optimal curve |
Δ |
1.2315727458108E+22 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6723549,4063961265] |
[a1,a2,a3,a4,a6] |
Generators |
[14882:1781423:1] |
Generators of the group modulo torsion |
j |
18974193623767438057/6951907079749632 |
j-invariant |
L |
10.857989433086 |
L(r)(E,1)/r! |
Ω |
0.11590314914726 |
Real period |
R |
0.97584972814409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000729 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006m1 |
Quadratic twists by: -11 |