Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20800dn |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
106496000 = 216 · 53 · 13 |
Discriminant |
Eigenvalues |
2- 0 5- -4 -2 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-140,400] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:32:1] |
Generators of the group modulo torsion |
j |
37044/13 |
j-invariant |
L |
3.5409091702081 |
L(r)(E,1)/r! |
Ω |
1.7276210995605 |
Real period |
R |
1.0247933331877 |
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 |
20800bi1 5200j1 20800dz1 |
Quadratic twists by: -4 8 5 |