Atkin-Lehner |
2- 7- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
43792i |
Isogeny class |
Conductor |
43792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
717488128 = 218 · 7 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 0 0 7- 0 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-955,-11286] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:6:1] |
Generators of the group modulo torsion |
j |
23516564625/175168 |
j-invariant |
L |
5.8914038126987 |
L(r)(E,1)/r! |
Ω |
0.85919893380775 |
Real period |
R |
1.7142141304207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5474d1 |
Quadratic twists by: -4 |