Atkin-Lehner |
3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127449bf |
Isogeny class |
Conductor |
127449 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
34130885150313 = 310 · 76 · 173 |
Discriminant |
Eigenvalues |
1 3- 0 7- -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10152,278235] |
[a1,a2,a3,a4,a6] |
Generators |
[206:1359:8] |
Generators of the group modulo torsion |
j |
274625/81 |
j-invariant |
L |
5.4253654344239 |
L(r)(E,1)/r! |
Ω |
0.60771885448671 |
Real period |
R |
4.46371331335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999102946 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42483t1 2601i1 127449be1 |
Quadratic twists by: -3 -7 17 |