Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920ej |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
12294374400000000 = 216 · 34 · 58 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-513441,141677505] |
[a1,a2,a3,a4,a6] |
Generators |
[181:7392:1] |
Generators of the group modulo torsion |
j |
228410605013945764/187597265625 |
j-invariant |
L |
5.3605111431249 |
L(r)(E,1)/r! |
Ω |
0.39775043890587 |
Real period |
R |
3.3692679001886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976848 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920co4 18480z4 |
Quadratic twists by: -4 8 |