Atkin-Lehner |
5- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
3055b |
Isogeny class |
Conductor |
3055 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-5702478275 = -1 · 52 · 133 · 473 |
Discriminant |
Eigenvalues |
0 1 5- 2 -3 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-455,-5366] |
[a1,a2,a3,a4,a6] |
Generators |
[26:32:1] |
Generators of the group modulo torsion |
j |
-10440277590016/5702478275 |
j-invariant |
L |
3.5242528019752 |
L(r)(E,1)/r! |
Ω |
0.50392768526563 |
Real period |
R |
1.1655947552996 |
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 |
48880s2 27495e2 15275c2 39715c2 |
Quadratic twists by: -4 -3 5 13 |