Atkin-Lehner |
3+ 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
56355k |
Isogeny class |
Conductor |
56355 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-213452817626953125 = -1 · 34 · 512 · 133 · 173 |
Discriminant |
Eigenvalues |
-1 3+ 5- 2 -2 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,149390,485540] |
[a1,a2,a3,a4,a6] |
Generators |
[53:2898:1] |
Generators of the group modulo torsion |
j |
75048384514044943/43446533203125 |
j-invariant |
L |
3.6423986732309 |
L(r)(E,1)/r! |
Ω |
0.18908433382165 |
Real period |
R |
0.53509319824193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56355r2 |
Quadratic twists by: 17 |