Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
27720y |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
61969969797120 = 211 · 310 · 5 · 7 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16707,-739874] |
[a1,a2,a3,a4,a6] |
Generators |
[230:2754:1] |
Generators of the group modulo torsion |
j |
345431270018/41507235 |
j-invariant |
L |
5.9525599719875 |
L(r)(E,1)/r! |
Ω |
0.42322935032499 |
Real period |
R |
3.5161549922145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440be3 9240bd4 |
Quadratic twists by: -4 -3 |