Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920a |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-10059033600 = -1 · 210 · 36 · 52 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ 0 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,539,-539] |
[a1,a2,a3,a4,a6] |
Generators |
[21:140:1] |
Generators of the group modulo torsion |
j |
16880451584/9823275 |
j-invariant |
L |
3.456709650729 |
L(r)(E,1)/r! |
Ω |
0.76184446379095 |
Real period |
R |
1.1343226260654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998397 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920gw1 4620l1 |
Quadratic twists by: -4 8 |