Atkin-Lehner |
2+ 3- 7- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20706n |
Isogeny class |
Conductor |
20706 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-247268732928 = -1 · 212 · 3 · 74 · 172 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-522,24316] |
[a1,a2,a3,a4,a6] |
Generators |
[28:164:1] |
Generators of the group modulo torsion |
j |
-15686956710937/247268732928 |
j-invariant |
L |
3.5377217332132 |
L(r)(E,1)/r! |
Ω |
0.83356464355806 |
Real period |
R |
1.0610220096766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62118bw1 |
Quadratic twists by: -3 |