Atkin-Lehner |
2+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472d |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
4 |
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 |
[1153848238953109419792541204155:-278244567157198453310722299624224:19969543376639590994942625] |
Generators of the group modulo torsion |
j |
845095823/80707214 |
j-invariant |
L |
9.3759140748109 |
L(r)(E,1)/r! |
Ω |
0.049217686287328 |
Real period |
R |
47.624719801309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129472dc2 4046j2 129472bn2 |
Quadratic twists by: -4 8 17 |