Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840o |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
68153610470400 = 210 · 38 · 52 · 74 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-52976,4658724] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:2730:1] |
Generators of the group modulo torsion |
j |
16057186204796356/66556260225 |
j-invariant |
L |
6.177305645048 |
L(r)(E,1)/r! |
Ω |
0.62072222818719 |
Real period |
R |
0.31099385947805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10920a2 87360fn2 65520bj2 109200g2 |
Quadratic twists by: -4 8 -3 5 |