Atkin-Lehner |
2- 3+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66066bk |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
-36552980560208112 = -1 · 24 · 32 · 72 · 119 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11+ 13+ -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,23653,-9081511] |
[a1,a2,a3,a4,a6] |
j |
620650477/15502032 |
j-invariant |
L |
1.416935246976 |
L(r)(E,1)/r! |
Ω |
0.17711690562272 |
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 |
66066l1 |
Quadratic twists by: -11 |