Atkin-Lehner |
2+ 5+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
63440a |
Isogeny class |
Conductor |
63440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
164944000000 = 210 · 56 · 132 · 61 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 6 13+ 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1843,-23358] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:78:1] |
Generators of the group modulo torsion |
j |
676082603556/161078125 |
j-invariant |
L |
4.8443547207857 |
L(r)(E,1)/r! |
Ω |
0.7412367744976 |
Real period |
R |
1.6338756007392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997871 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31720c2 |
Quadratic twists by: -4 |