Atkin-Lehner |
2+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472a |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2.8673751500153E+24 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11103380,80216241072] |
[a1,a2,a3,a4,a6] |
Generators |
[-1786:233856:1] |
Generators of the group modulo torsion |
j |
4869777375/92236816 |
j-invariant |
L |
5.8076656262218 |
L(r)(E,1)/r! |
Ω |
0.060024711047975 |
Real period |
R |
6.0471613005688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999108679 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129472cu2 4046h2 129472y2 |
Quadratic twists by: -4 8 17 |