Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200bl |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1871424000000000000 = 218 · 34 · 512 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-612033,-171936063] |
[a1,a2,a3,a4,a6] |
j |
6189976379881/456890625 |
j-invariant |
L |
0.6859396173523 |
L(r)(E,1)/r! |
Ω |
0.17148490319655 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
91200hv2 1425h2 18240bj2 |
Quadratic twists by: -4 8 5 |