Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920eu |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-77616000000 = -1 · 210 · 32 · 56 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,219,-13419] |
[a1,a2,a3,a4,a6] |
Generators |
[25:84:1] |
Generators of the group modulo torsion |
j |
1129201664/75796875 |
j-invariant |
L |
4.3113332497857 |
L(r)(E,1)/r! |
Ω |
0.51816289980957 |
Real period |
R |
2.0801051424926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991063 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920cl1 18480dh1 |
Quadratic twists by: -4 8 |