Atkin-Lehner |
2- 3+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
33150bg |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
20321280 |
Modular degree for the optimal curve |
Δ |
-1.0125551708086E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -3 13+ 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2276332938,41801534507031] |
[a1,a2,a3,a4,a6] |
j |
-83485496408692606522088834521/64803530931750000000 |
j-invariant |
L |
2.043164898604 |
L(r)(E,1)/r! |
Ω |
0.072970174950215 |
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 |
99450y1 6630o1 |
Quadratic twists by: -3 5 |