Atkin-Lehner |
2+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472g |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
8485076992 = 222 · 7 · 172 |
Discriminant |
Eigenvalues |
2+ -1 -2 7+ 2 -2 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-929,10273] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:128:1] |
Generators of the group modulo torsion |
j |
1171657/112 |
j-invariant |
L |
4.0559184695501 |
L(r)(E,1)/r! |
Ω |
1.2710268047255 |
Real period |
R |
0.79776417379503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996907666 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129472cy1 4046a1 129472bk1 |
Quadratic twists by: -4 8 17 |