Atkin-Lehner |
2+ 3- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150bs |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2.03769126038E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-366777567,-1610158516659] |
[a1,a2,a3,a4,a6] |
Generators |
[21093:183498:1] |
Generators of the group modulo torsion |
j |
479053981924423911132841/178891962502500000000 |
j-invariant |
L |
2.2671595669985 |
L(r)(E,1)/r! |
Ω |
0.035589128768902 |
Real period |
R |
7.9629639155794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999188814 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37050cg2 22230bj2 |
Quadratic twists by: -3 5 |