Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296cn |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
7.5462184285218E+23 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -6 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45864448,111994688180] |
[a1,a2,a3,a4,a6] |
Generators |
[5231:123462:1] [-1204:406782:1] |
Generators of the group modulo torsion |
j |
55369510069623625/3916046302812 |
j-invariant |
L |
13.942098411942 |
L(r)(E,1)/r! |
Ω |
0.088120323398558 |
Real period |
R |
4.3949056981795 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000338 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15162t2 6384q2 |
Quadratic twists by: -4 -19 |