Atkin-Lehner |
2+ 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
82600c |
Isogeny class |
Conductor |
82600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
213211250000 = 24 · 57 · 72 · 592 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -4 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1550,7625] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:75:1] [-20:175:1] |
Generators of the group modulo torsion |
j |
1647323136/852845 |
j-invariant |
L |
9.9753021117216 |
L(r)(E,1)/r! |
Ω |
0.87947401393229 |
Real period |
R |
1.4177937542077 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000192 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16520c1 |
Quadratic twists by: 5 |