Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25536bo |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-54340608 = -1 · 210 · 3 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-173,-1005] |
[a1,a2,a3,a4,a6] |
Generators |
[582:14049:1] |
Generators of the group modulo torsion |
j |
-562432000/53067 |
j-invariant |
L |
7.0766833093227 |
L(r)(E,1)/r! |
Ω |
0.65437295242253 |
Real period |
R |
5.4072247967496 |
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 |
25536bw1 3192e1 76608cd1 |
Quadratic twists by: -4 8 -3 |