Atkin-Lehner |
2+ 3+ 7+ 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
112518b |
Isogeny class |
Conductor |
112518 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
15748919424 = 27 · 39 · 7 · 19 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 2 1 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-771,-5419] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:46:1] |
Generators of the group modulo torsion |
j |
2576987811/800128 |
j-invariant |
L |
2.9250215877627 |
L(r)(E,1)/r! |
Ω |
0.9279704389414 |
Real period |
R |
1.5760316673546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999708773 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112518s1 |
Quadratic twists by: -3 |