Atkin-Lehner |
2+ 3+ 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
82128c |
Isogeny class |
Conductor |
82128 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
4574201088 = 28 · 3 · 29 · 593 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -1 -4 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-473,2421] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:59:1] [180:2391:1] |
Generators of the group modulo torsion |
j |
45812608000/17867973 |
j-invariant |
L |
9.0174892610237 |
L(r)(E,1)/r! |
Ω |
1.2523231016656 |
Real period |
R |
2.4002030703312 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41064c1 |
Quadratic twists by: -4 |