Atkin-Lehner |
3- 7- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
48321o |
Isogeny class |
Conductor |
48321 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
105670656 |
Modular degree for the optimal curve |
Δ |
-1.7106701617969E+31 |
Discriminant |
Eigenvalues |
-2 3- -1 7- 0 13+ -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6798087813,-293499707561190] |
[a1,a2,a3,a4,a6] |
Generators |
[105885:13184405:1] |
Generators of the group modulo torsion |
j |
-47660269568627184824566863917056/23465983015046766534814434051 |
j-invariant |
L |
2.2956893777935 |
L(r)(E,1)/r! |
Ω |
0.0081230847595787 |
Real period |
R |
5.4348654429182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16107i1 |
Quadratic twists by: -3 |