Atkin-Lehner |
2+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
129472bn |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-1767046439369179136 = -1 · 219 · 79 · 174 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- 0 -5 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,55103,63743681] |
[a1,a2,a3,a4,a6] |
Generators |
[337:10976:1] |
Generators of the group modulo torsion |
j |
845095823/80707214 |
j-invariant |
L |
3.4708129109378 |
L(r)(E,1)/r! |
Ω |
0.20292971921117 |
Real period |
R |
0.47509784238323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997921007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129472cl2 4046r2 129472d2 |
Quadratic twists by: -4 8 17 |