Atkin-Lehner |
2+ 3- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116886u |
Isogeny class |
Conductor |
116886 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
36375081229872 = 24 · 39 · 73 · 114 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8352,-46466] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:-429:1] [-74:446:1] |
Generators of the group modulo torsion |
j |
4399969620937/2484466992 |
j-invariant |
L |
9.2868400257623 |
L(r)(E,1)/r! |
Ω |
0.53813160246626 |
Real period |
R |
0.10652816660907 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988491 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116886bn1 |
Quadratic twists by: -11 |