Atkin-Lehner |
2- 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
124656cc |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-1609031725056 = -1 · 212 · 32 · 77 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -5 -2 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1045,62749] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:147:1] |
Generators of the group modulo torsion |
j |
-262144/3339 |
j-invariant |
L |
5.253289857856 |
L(r)(E,1)/r! |
Ω |
0.71616248746175 |
Real period |
R |
1.8338331024189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999105014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7791e1 17808x1 |
Quadratic twists by: -4 -7 |