Atkin-Lehner |
3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
61347z |
Isogeny class |
Conductor |
61347 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9.2932081664546E+23 |
Discriminant |
Eigenvalues |
-1 3- 2 0 11- 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-61531467,179889890478] |
[a1,a2,a3,a4,a6] |
Generators |
[3124127367206:-122541986971684:973242271] |
Generators of the group modulo torsion |
j |
3013001140430737/108679952667 |
j-invariant |
L |
5.624249904084 |
L(r)(E,1)/r! |
Ω |
0.087723688354967 |
Real period |
R |
16.028310053778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5577g5 4719j5 |
Quadratic twists by: -11 13 |