Atkin-Lehner |
2+ 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840l |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
207287117122176000 = 210 · 32 · 53 · 712 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-351216,76944420] |
[a1,a2,a3,a4,a6] |
j |
4678944235881273796/202428825314625 |
j-invariant |
L |
1.2537185434099 |
L(r)(E,1)/r! |
Ω |
0.31342963585246 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10920c3 87360ff3 65520bd3 109200v3 |
Quadratic twists by: -4 8 -3 5 |