Atkin-Lehner |
2- 3+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
27816i |
Isogeny class |
Conductor |
27816 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
44800 |
Modular degree for the optimal curve |
Δ |
158329562112 = 210 · 37 · 19 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 6 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13688,-611556] |
[a1,a2,a3,a4,a6] |
Generators |
[-62176418:-10348400:912673] |
Generators of the group modulo torsion |
j |
276997259798500/154618713 |
j-invariant |
L |
4.9480743022339 |
L(r)(E,1)/r! |
Ω |
0.44139403721833 |
Real period |
R |
11.210106809364 |
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 |
55632g1 83448d1 |
Quadratic twists by: -4 -3 |