Atkin-Lehner |
5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
17885d |
Isogeny class |
Conductor |
17885 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
116753727125 = 53 · 74 · 733 |
Discriminant |
Eigenvalues |
0 -2 5+ 7+ -6 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1241,-4035] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:45:1] [-25:109:1] |
Generators of the group modulo torsion |
j |
88104239104/48627125 |
j-invariant |
L |
3.9878038920625 |
L(r)(E,1)/r! |
Ω |
0.86090132238021 |
Real period |
R |
0.51468073032514 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89425a2 17885l2 |
Quadratic twists by: 5 -7 |