Atkin-Lehner |
3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725by |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
-2561955169921875 = -1 · 38 · 59 · 7 · 134 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ 1 13+ -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,28167,1627994] |
[a1,a2,a3,a4,a6] |
Generators |
[108:-2438:1] |
Generators of the group modulo torsion |
j |
44302336/45927 |
j-invariant |
L |
6.8732775067784 |
L(r)(E,1)/r! |
Ω |
0.30178380349987 |
Real period |
R |
0.47448961756799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999916442 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88725bh1 88725cg1 |
Quadratic twists by: 5 13 |