Atkin-Lehner |
5+ 7+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
82775c |
Isogeny class |
Conductor |
82775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
728064 |
Modular degree for the optimal curve |
Δ |
25776316846328125 = 57 · 78 · 113 · 43 |
Discriminant |
Eigenvalues |
2 -1 5+ 7+ 11+ -3 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-81158,-4391907] |
[a1,a2,a3,a4,a6] |
Generators |
[62468:1860743:64] |
Generators of the group modulo torsion |
j |
3783581083316224/1649684278165 |
j-invariant |
L |
9.1666437619448 |
L(r)(E,1)/r! |
Ω |
0.29436001661503 |
Real period |
R |
3.8926158629153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001391 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16555c1 |
Quadratic twists by: 5 |