Atkin-Lehner |
2- 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
82600n |
Isogeny class |
Conductor |
82600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-25385292800 = -1 · 210 · 52 · 75 · 59 |
Discriminant |
Eigenvalues |
2- 3 5+ 7+ -4 -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,485,6470] |
[a1,a2,a3,a4,a6] |
Generators |
[2298:22006:27] |
Generators of the group modulo torsion |
j |
492843420/991613 |
j-invariant |
L |
11.214749786445 |
L(r)(E,1)/r! |
Ω |
0.82415651332455 |
Real period |
R |
6.8037742831371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000461 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82600j1 |
Quadratic twists by: 5 |