Atkin-Lehner |
3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
44649p |
Isogeny class |
Conductor |
44649 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
19220917782627 = 37 · 118 · 41 |
Discriminant |
Eigenvalues |
-1 3- 0 -1 11- -2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8735,-230700] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:219:1] [-482:2415:8] |
Generators of the group modulo torsion |
j |
471625/123 |
j-invariant |
L |
5.8404717277157 |
L(r)(E,1)/r! |
Ω |
0.50339243266273 |
Real period |
R |
0.96685199404987 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14883b1 44649j1 |
Quadratic twists by: -3 -11 |