Atkin-Lehner |
2- 59- |
Signs for the Atkin-Lehner involutions |
Class |
27848j |
Isogeny class |
Conductor |
27848 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
83520 |
Modular degree for the optimal curve |
Δ |
-5096758240909312 = -1 · 211 · 597 |
Discriminant |
Eigenvalues |
2- 2 2 1 -1 1 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,26688,-3005908] |
[a1,a2,a3,a4,a6] |
Generators |
[339161544:10361958839:373248] |
Generators of the group modulo torsion |
j |
24334/59 |
j-invariant |
L |
9.2429636470548 |
L(r)(E,1)/r! |
Ω |
0.22284352156305 |
Real period |
R |
10.369343006052 |
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 |
55696i1 472c1 |
Quadratic twists by: -4 -59 |