Atkin-Lehner |
2+ 3- 7- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20706m |
Isogeny class |
Conductor |
20706 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-77631032890908 = -1 · 22 · 39 · 76 · 172 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,8004,322726] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:561:1] |
Generators of the group modulo torsion |
j |
56718266381138375/77631032890908 |
j-invariant |
L |
4.9687794368382 |
L(r)(E,1)/r! |
Ω |
0.41249287830989 |
Real period |
R |
2.0076223122513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
62118bv1 |
Quadratic twists by: -3 |