Atkin-Lehner |
5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
89425a |
Isogeny class |
Conductor |
89425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1824276986328125 = 59 · 74 · 733 |
Discriminant |
Eigenvalues |
0 2 5+ 7+ -6 -2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-31033,-442282] |
[a1,a2,a3,a4,a6] |
Generators |
[-168:37:1] |
Generators of the group modulo torsion |
j |
88104239104/48627125 |
j-invariant |
L |
5.9120164474664 |
L(r)(E,1)/r! |
Ω |
0.38500677575232 |
Real period |
R |
3.8389041634971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999827905 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17885d2 89425w2 |
Quadratic twists by: 5 -7 |