Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810bu |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
554400 |
Modular degree for the optimal curve |
Δ |
-8400432722500000 = -1 · 25 · 57 · 76 · 134 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -3 13+ 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-42958,-5574019] |
[a1,a2,a3,a4,a6] |
Generators |
[120029:1554253:343] |
Generators of the group modulo torsion |
j |
-2609064081/2500000 |
j-invariant |
L |
7.5944681905966 |
L(r)(E,1)/r! |
Ω |
0.15956776080179 |
Real period |
R |
9.5188002224502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007264 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1690g1 82810bc1 |
Quadratic twists by: -7 13 |