Atkin-Lehner |
2+ 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
59760o |
Isogeny class |
Conductor |
59760 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
28927186560000 = 210 · 38 · 54 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18867,-963326] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:140:1] [-85:162:1] |
Generators of the group modulo torsion |
j |
994958062276/38750625 |
j-invariant |
L |
10.156449669186 |
L(r)(E,1)/r! |
Ω |
0.40833320757469 |
Real period |
R |
3.1091182032164 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29880l2 19920e2 |
Quadratic twists by: -4 -3 |