Atkin-Lehner |
2+ 3- 5- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13110r |
Isogeny class |
Conductor |
13110 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
132118594560 = 210 · 310 · 5 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -2 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2638,48896] |
[a1,a2,a3,a4,a6] |
Generators |
[22:29:1] |
Generators of the group modulo torsion |
j |
2029137179059801/132118594560 |
j-invariant |
L |
4.3199178843083 |
L(r)(E,1)/r! |
Ω |
1.0208404047506 |
Real period |
R |
0.84634539624514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104880ch1 39330bj1 65550bp1 |
Quadratic twists by: -4 -3 5 |