Atkin-Lehner |
2- 3+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
33150bl |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-44907890625000 = -1 · 23 · 32 · 510 · 13 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 3 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1848763,-968312719] |
[a1,a2,a3,a4,a6] |
Generators |
[7061:577920:1] |
Generators of the group modulo torsion |
j |
-71559517896165625/4598568 |
j-invariant |
L |
7.0703155623742 |
L(r)(E,1)/r! |
Ω |
0.064736504542444 |
Real period |
R |
6.067601452952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99450t2 33150z2 |
Quadratic twists by: -3 5 |