Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472dc |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-4.2652205356478E+25 |
Discriminant |
Eigenvalues |
2- -1 3 7- 0 -5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15924671,-313268252959] |
[a1,a2,a3,a4,a6] |
Generators |
[18245:2459744:1] |
Generators of the group modulo torsion |
j |
845095823/80707214 |
j-invariant |
L |
6.6450652644103 |
L(r)(E,1)/r! |
Ω |
0.03049804597841 |
Real period |
R |
6.0523598874199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997892142 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129472d2 32368y2 129472cl2 |
Quadratic twists by: -4 8 17 |