Atkin-Lehner |
3- 11- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
17589c |
Isogeny class |
Conductor |
17589 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
78400 |
Modular degree for the optimal curve |
Δ |
-23860745664327 = -1 · 310 · 11 · 13 · 414 |
Discriminant |
Eigenvalues |
-1 3- 0 4 11- 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-136158,-19350837] |
[a1,a2,a3,a4,a6] |
Generators |
[3309:187461:1] |
Generators of the group modulo torsion |
j |
-279160136509396326625/23860745664327 |
j-invariant |
L |
4.4599928066102 |
L(r)(E,1)/r! |
Ω |
0.12426720329758 |
Real period |
R |
7.1780690129962 |
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 |
52767d1 |
Quadratic twists by: -3 |