Atkin-Lehner |
5- 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
59675r |
Isogeny class |
Conductor |
59675 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
17590138671875 = 59 · 74 · 112 · 31 |
Discriminant |
Eigenvalues |
-1 2 5- 7- 11+ -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-19263,-1017094] |
[a1,a2,a3,a4,a6] |
Generators |
[210:1957:1] |
Generators of the group modulo torsion |
j |
404731359773/9006151 |
j-invariant |
L |
5.2858340710637 |
L(r)(E,1)/r! |
Ω |
0.40579495234859 |
Real period |
R |
3.2564685933797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000687 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59675l2 |
Quadratic twists by: 5 |