Atkin-Lehner |
2- 3- 5+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
80370br |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
54746653840110 = 2 · 310 · 5 · 19 · 474 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12848,-429739] |
[a1,a2,a3,a4,a6] |
Generators |
[10164:73699:64] |
Generators of the group modulo torsion |
j |
321714827384761/75098290590 |
j-invariant |
L |
10.892573367079 |
L(r)(E,1)/r! |
Ω |
0.45598356320971 |
Real period |
R |
5.9720208402275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980908 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26790m3 |
Quadratic twists by: -3 |