Atkin-Lehner |
2- 3+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
56088g |
Isogeny class |
Conductor |
56088 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
298319956992 = 210 · 39 · 192 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 -2 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23787,1411830] |
[a1,a2,a3,a4,a6] |
Generators |
[91:28:1] |
Generators of the group modulo torsion |
j |
73850166828/14801 |
j-invariant |
L |
4.1493457358684 |
L(r)(E,1)/r! |
Ω |
0.94362739683181 |
Real period |
R |
2.198614490091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000062 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112176a2 56088b2 |
Quadratic twists by: -4 -3 |