Atkin-Lehner |
2- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
9548c |
Isogeny class |
Conductor |
9548 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
2376 |
Modular degree for the optimal curve |
Δ |
-226440368 = -1 · 24 · 73 · 113 · 31 |
Discriminant |
Eigenvalues |
2- 1 0 7- 11- 2 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-133,-980] |
[a1,a2,a3,a4,a6] |
Generators |
[15:25:1] |
Generators of the group modulo torsion |
j |
-16384000000/14152523 |
j-invariant |
L |
5.4163681449302 |
L(r)(E,1)/r! |
Ω |
0.67790588803913 |
Real period |
R |
2.6632842112235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
38192j1 85932bh1 66836f1 105028c1 |
Quadratic twists by: -4 -3 -7 -11 |