Atkin-Lehner |
2- 83- |
Signs for the Atkin-Lehner involutions |
Class |
27556c |
Isogeny class |
Conductor |
27556 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3528 |
Modular degree for the optimal curve |
Δ |
-1763584 = -1 · 28 · 832 |
Discriminant |
Eigenvalues |
2- 2 2 -2 4 -1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,28,-40] |
[a1,a2,a3,a4,a6] |
Generators |
[1662:5165:216] |
Generators of the group modulo torsion |
j |
1328 |
j-invariant |
L |
8.8086122694395 |
L(r)(E,1)/r! |
Ω |
1.4809971156691 |
Real period |
R |
5.9477578830125 |
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 |
110224l1 27556d1 |
Quadratic twists by: -4 -83 |