Atkin-Lehner |
3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
2655g |
Isogeny class |
Conductor |
2655 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3200 |
Modular degree for the optimal curve |
Δ |
32661478125 = 311 · 55 · 59 |
Discriminant |
Eigenvalues |
2 3- 5+ -2 3 -1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2523,-47997] |
[a1,a2,a3,a4,a6] |
Generators |
[-254:77:8] |
Generators of the group modulo torsion |
j |
2436396322816/44803125 |
j-invariant |
L |
5.5516014369134 |
L(r)(E,1)/r! |
Ω |
0.67438064357529 |
Real period |
R |
2.0580370632678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42480bi1 885d1 13275s1 |
Quadratic twists by: -4 -3 5 |