Atkin-Lehner |
2- 5+ 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
47450y |
Isogeny class |
Conductor |
47450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
170496 |
Modular degree for the optimal curve |
Δ |
55055790156250 = 2 · 57 · 136 · 73 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 1 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-60188,-5677258] |
[a1,a2,a3,a4,a6] |
Generators |
[-8812:8631:64] |
Generators of the group modulo torsion |
j |
1543241430303481/3523570570 |
j-invariant |
L |
11.172272734092 |
L(r)(E,1)/r! |
Ω |
0.3048467861099 |
Real period |
R |
1.5270338580893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9490b1 |
Quadratic twists by: 5 |