Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121968l |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.1410838942627E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,179685,-513108486] |
[a1,a2,a3,a4,a6] |
j |
13500/2401 |
j-invariant |
L |
0.70623067019901 |
L(r)(E,1)/r! |
Ω |
0.088278770659747 |
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 |
60984bj2 121968k2 121968a2 |
Quadratic twists by: -4 -3 -11 |