Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
15912g |
Isogeny class |
Conductor |
15912 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
5398870855248 = 24 · 312 · 133 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 0 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5214,-92207] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:221:1] |
Generators of the group modulo torsion |
j |
1343969093632/462866157 |
j-invariant |
L |
5.319327309957 |
L(r)(E,1)/r! |
Ω |
0.57760147656927 |
Real period |
R |
0.76744484529825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31824m1 127296i1 5304l1 |
Quadratic twists by: -4 8 -3 |