Atkin-Lehner |
2+ 3- 5- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270bn |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
160443506916000000 = 28 · 34 · 56 · 72 · 112 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-168543,18367858] |
[a1,a2,a3,a4,a6] |
Generators |
[-406:4665:1] |
Generators of the group modulo torsion |
j |
529483179157097938921/160443506916000000 |
j-invariant |
L |
5.9190088982993 |
L(r)(E,1)/r! |
Ω |
0.2998891413169 |
Real period |
R |
0.41119423277476 |
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 |
117810dt2 |
Quadratic twists by: -3 |