Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
41760w |
Isogeny class |
Conductor |
41760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-32472576000 = -1 · 212 · 37 · 53 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -5 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-408,9232] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:108:1] |
Generators of the group modulo torsion |
j |
-2515456/10875 |
j-invariant |
L |
6.1518089410537 |
L(r)(E,1)/r! |
Ω |
1.0173038347155 |
Real period |
R |
1.5117924289495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999949 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41760x1 83520gn1 13920p1 |
Quadratic twists by: -4 8 -3 |