Atkin-Lehner |
2+ 5- 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
105040d |
Isogeny class |
Conductor |
105040 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
4243616000 = 28 · 53 · 13 · 1012 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 0 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-407,406] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:56:1] [-3:40:1] |
Generators of the group modulo torsion |
j |
29125069776/16576625 |
j-invariant |
L |
12.111515693371 |
L(r)(E,1)/r! |
Ω |
1.1887969864969 |
Real period |
R |
3.3960145785466 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000177 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52520d1 |
Quadratic twists by: -4 |