Atkin-Lehner |
2+ 3+ 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
33150k |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-314162550000000 = -1 · 27 · 37 · 58 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 4 13+ 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-42075,3412125] |
[a1,a2,a3,a4,a6] |
j |
-21088815109465/804256128 |
j-invariant |
L |
1.0800874463833 |
L(r)(E,1)/r! |
Ω |
0.54004372318685 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99450ds1 33150ce1 |
Quadratic twists by: -3 5 |