Atkin-Lehner |
2- 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
82600l |
Isogeny class |
Conductor |
82600 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2462400 |
Modular degree for the optimal curve |
Δ |
1.25111752325E+19 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -4 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5577500,-5067137500] |
[a1,a2,a3,a4,a6] |
Generators |
[-85724:45253:64] |
Generators of the group modulo torsion |
j |
7675425140659200/5004470093 |
j-invariant |
L |
3.9480191596273 |
L(r)(E,1)/r! |
Ω |
0.098244140351698 |
Real period |
R |
4.0185797783176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005248 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82600h1 |
Quadratic twists by: 5 |