Atkin-Lehner |
2- 5+ 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
72080f |
Isogeny class |
Conductor |
72080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
4723834880 = 220 · 5 · 17 · 53 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 2 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1416,20720] |
[a1,a2,a3,a4,a6] |
Generators |
[50988:105931:1728] |
Generators of the group modulo torsion |
j |
76711450249/1153280 |
j-invariant |
L |
11.205307766647 |
L(r)(E,1)/r! |
Ω |
1.3753340245532 |
Real period |
R |
8.1473355324581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994698 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9010b1 |
Quadratic twists by: -4 |