Atkin-Lehner |
2- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472cf |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
21083292934602752 = 220 · 72 · 177 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 2 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-333313,73626111] |
[a1,a2,a3,a4,a6] |
j |
647214625/3332 |
j-invariant |
L |
1.5402788288646 |
L(r)(E,1)/r! |
Ω |
0.38506970780274 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129472be1 32368k1 7616k1 |
Quadratic twists by: -4 8 17 |