Atkin-Lehner |
3- 11+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
123981p |
Isogeny class |
Conductor |
123981 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1480767445443 = 3 · 112 · 132 · 176 |
Discriminant |
Eigenvalues |
-1 3- 0 0 11+ 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3763,66518] |
[a1,a2,a3,a4,a6] |
Generators |
[49:-5:1] |
Generators of the group modulo torsion |
j |
244140625/61347 |
j-invariant |
L |
4.444945307178 |
L(r)(E,1)/r! |
Ω |
0.79655705594601 |
Real period |
R |
2.7900984487648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000213462 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
429a2 |
Quadratic twists by: 17 |