Atkin-Lehner |
2- 3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
19890t |
Isogeny class |
Conductor |
19890 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
235999511718750 = 2 · 37 · 512 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-66578,6587331] |
[a1,a2,a3,a4,a6] |
j |
44769506062996441/323730468750 |
j-invariant |
L |
2.2396736408283 |
L(r)(E,1)/r! |
Ω |
0.55991841020708 |
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 |
6630e3 99450bf4 |
Quadratic twists by: -3 5 |