Atkin-Lehner |
2- 3+ 37- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
129648p |
Isogeny class |
Conductor |
129648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1193641132032 = 214 · 36 · 372 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -2 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24584,1490928] |
[a1,a2,a3,a4,a6] |
Generators |
[52:592:1] |
Generators of the group modulo torsion |
j |
401179812928777/291416292 |
j-invariant |
L |
2.987196109503 |
L(r)(E,1)/r! |
Ω |
0.85774532690032 |
Real period |
R |
0.8706535841103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997891819 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16206e2 |
Quadratic twists by: -4 |