Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840p |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4717440000 = 210 · 34 · 54 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2016,34020] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:150:1] |
Generators of the group modulo torsion |
j |
885341342596/4606875 |
j-invariant |
L |
6.5658859590008 |
L(r)(E,1)/r! |
Ω |
1.3795284429508 |
Real period |
R |
1.1898786850956 |
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 |
10920k3 87360fs3 65520bn3 109200k3 |
Quadratic twists by: -4 8 -3 5 |