Atkin-Lehner |
2+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
27848d |
Isogeny class |
Conductor |
27848 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8160 |
Modular degree for the optimal curve |
Δ |
-3564544 = -1 · 210 · 592 |
Discriminant |
Eigenvalues |
2+ 2 -1 4 0 5 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-216,-1156] |
[a1,a2,a3,a4,a6] |
j |
-314116 |
j-invariant |
L |
4.9784700246999 |
L(r)(E,1)/r! |
Ω |
0.62230875308745 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55696g1 27848i1 |
Quadratic twists by: -4 -59 |