Atkin-Lehner |
2- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
55696l |
Isogeny class |
Conductor |
55696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6117120 |
Modular degree for the optimal curve |
Δ |
-1.4534095205667E+23 |
Discriminant |
Eigenvalues |
2- 1 3 -1 6 6 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9105136,-14983896556] |
[a1,a2,a3,a4,a6] |
j |
2352637/4096 |
j-invariant |
L |
3.8987686957435 |
L(r)(E,1)/r! |
Ω |
0.054149565222878 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6962h1 55696m1 |
Quadratic twists by: -4 -59 |