Atkin-Lehner |
2+ 5- 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
41080b |
Isogeny class |
Conductor |
41080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
32453200 = 24 · 52 · 13 · 792 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-82,81] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:15:1] [0:9:1] |
Generators of the group modulo torsion |
j |
3811055616/2028325 |
j-invariant |
L |
8.6945484025456 |
L(r)(E,1)/r! |
Ω |
1.8199385370525 |
Real period |
R |
2.3886928666911 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82160g1 |
Quadratic twists by: -4 |