Atkin-Lehner |
2+ 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66066bd |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-1029611071577088 = -1 · 210 · 34 · 72 · 117 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-80952,-9005306] |
[a1,a2,a3,a4,a6] |
j |
-33116363266897/581188608 |
j-invariant |
L |
2.2619394590112 |
L(r)(E,1)/r! |
Ω |
0.14137121605881 |
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 |
6006bc1 |
Quadratic twists by: -11 |