Atkin-Lehner |
2- 3+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
66066bp |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.4759284423878E+23 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15019067,12653087393] |
[a1,a2,a3,a4,a6] |
j |
211493228575739333833/83312312835279528 |
j-invariant |
L |
4.4962967907728 |
L(r)(E,1)/r! |
Ω |
0.093672849877804 |
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 |
6006g3 |
Quadratic twists by: -11 |