Atkin-Lehner |
2+ 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67518r |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1.0713321787644E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 11- -2 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,527103,-55838403] |
[a1,a2,a3,a4,a6] |
j |
183610204387358375/121453840171008 |
j-invariant |
L |
1.5576231071681 |
L(r)(E,1)/r! |
Ω |
0.12980192642684 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22506bk2 67518bx2 |
Quadratic twists by: -3 -11 |