Atkin-Lehner |
2+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
33440d |
Isogeny class |
Conductor |
33440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1023253633600000 = -1 · 29 · 55 · 116 · 192 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 11+ -2 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,24904,275396] |
[a1,a2,a3,a4,a6] |
j |
3336135144699448/1998542253125 |
j-invariant |
L |
2.413501076254 |
L(r)(E,1)/r! |
Ω |
0.3016876345307 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33440y2 66880bq2 |
Quadratic twists by: -4 8 |