Atkin-Lehner |
3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
47685a |
Isogeny class |
Conductor |
47685 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3305951222900390625 = 3 · 512 · 11 · 177 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11+ 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-958763,350190768] |
[a1,a2,a3,a4,a6] |
Generators |
[12943591267426:722700143901039:3781833112] |
Generators of the group modulo torsion |
j |
4037984881634521/136962890625 |
j-invariant |
L |
5.0016494004674 |
L(r)(E,1)/r! |
Ω |
0.24979621123462 |
Real period |
R |
20.022919386006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999738 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2805e4 |
Quadratic twists by: 17 |