Atkin-Lehner |
2+ 3- 5- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
58410q |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
206091507600 = 24 · 38 · 52 · 113 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14904,703728] |
[a1,a2,a3,a4,a6] |
Generators |
[84:-240:1] |
Generators of the group modulo torsion |
j |
502251335607169/282704400 |
j-invariant |
L |
4.887707906333 |
L(r)(E,1)/r! |
Ω |
0.98960470713339 |
Real period |
R |
0.41158756547439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000083 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19470ba1 |
Quadratic twists by: -3 |