Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6840f |
Isogeny class |
Conductor |
6840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
718035840000 = 210 · 310 · 54 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4323,-101522] |
[a1,a2,a3,a4,a6] |
j |
11968836484/961875 |
j-invariant |
L |
2.3671340820931 |
L(r)(E,1)/r! |
Ω |
0.59178352052326 |
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 |
13680q3 54720cj4 2280j3 34200ck4 |
Quadratic twists by: -4 8 -3 5 |