Atkin-Lehner |
2+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
610b |
Isogeny class |
Conductor |
610 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
1952000 = 28 · 53 · 61 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-164,848] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:44:1] |
Generators of the group modulo torsion |
j |
489490178841/1952000 |
j-invariant |
L |
1.6222091649525 |
L(r)(E,1)/r! |
Ω |
2.6389744505491 |
Real period |
R |
0.40980797537087 |
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 |
4880g1 19520a1 5490u1 3050j1 |
Quadratic twists by: -4 8 -3 5 |