Atkin-Lehner |
2- 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
44080n |
Isogeny class |
Conductor |
44080 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
17632000 = 28 · 53 · 19 · 29 |
Discriminant |
Eigenvalues |
2- -1 5- 1 3 2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-660,-6308] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:5:8] |
Generators of the group modulo torsion |
j |
124386546256/68875 |
j-invariant |
L |
5.3584878926585 |
L(r)(E,1)/r! |
Ω |
0.94183143837825 |
Real period |
R |
1.8964780300435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999865 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11020e1 |
Quadratic twists by: -4 |