Atkin-Lehner |
2+ 5- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
55760g |
Isogeny class |
Conductor |
55760 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-36608775050368000 = -1 · 210 · 53 · 178 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 -4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,81493,2136394] |
[a1,a2,a3,a4,a6] |
Generators |
[118:3660:1] |
Generators of the group modulo torsion |
j |
58450021170856956/35750756885125 |
j-invariant |
L |
3.2589950417089 |
L(r)(E,1)/r! |
Ω |
0.22539946701464 |
Real period |
R |
4.8195840697669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27880i3 |
Quadratic twists by: -4 |