Atkin-Lehner |
2+ 5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
27650a |
Isogeny class |
Conductor |
27650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
56927409875000 = 23 · 56 · 78 · 79 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-85517,9640141] |
[a1,a2,a3,a4,a6] |
Generators |
[193:448:1] |
Generators of the group modulo torsion |
j |
4426535117697057/3643354232 |
j-invariant |
L |
2.8598888911382 |
L(r)(E,1)/r! |
Ω |
0.62252077019295 |
Real period |
R |
4.5940457380269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1106e4 |
Quadratic twists by: 5 |