Atkin-Lehner |
2- 7+ 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
56392d |
Isogeny class |
Conductor |
56392 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-1895560688 = -1 · 24 · 76 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 1 -4 7+ -5 0 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4460,113189] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:343:1] [38:5:1] |
Generators of the group modulo torsion |
j |
-613346197847296/118472543 |
j-invariant |
L |
8.2809768952556 |
L(r)(E,1)/r! |
Ω |
1.4374064091009 |
Real period |
R |
1.4402636656591 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112784h1 |
Quadratic twists by: -4 |