Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27900f |
Isogeny class |
Conductor |
27900 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-5649750000 = -1 · 24 · 36 · 56 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -6 4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3825,91125] |
[a1,a2,a3,a4,a6] |
Generators |
[36:9:1] |
Generators of the group modulo torsion |
j |
-33958656/31 |
j-invariant |
L |
4.0167083040051 |
L(r)(E,1)/r! |
Ω |
1.343638099432 |
Real period |
R |
1.4947136084125 |
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 |
111600fi1 3100b1 1116a1 |
Quadratic twists by: -4 -3 5 |