Atkin-Lehner |
2+ 3- 5- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270bn |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
268339886718750000 = 24 · 32 · 512 · 74 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2457423,1482335506] |
[a1,a2,a3,a4,a6] |
Generators |
[8265:739604:27] |
Generators of the group modulo torsion |
j |
1641206446466677841336041/268339886718750000 |
j-invariant |
L |
5.9190088982993 |
L(r)(E,1)/r! |
Ω |
0.2998891413169 |
Real period |
R |
0.82238846554952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
117810dt4 |
Quadratic twists by: -3 |