Atkin-Lehner |
2- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
5900c |
Isogeny class |
Conductor |
5900 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
840 |
Modular degree for the optimal curve |
Δ |
-14750000 = -1 · 24 · 56 · 59 |
Discriminant |
Eigenvalues |
2- 1 5+ 3 -2 0 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,188] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:2:1] |
Generators of the group modulo torsion |
j |
-16384/59 |
j-invariant |
L |
4.8253129979061 |
L(r)(E,1)/r! |
Ω |
1.9417858502942 |
Real period |
R |
2.4849872076136 |
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 |
23600l1 94400g1 53100i1 236a1 |
Quadratic twists by: -4 8 -3 5 |