Atkin-Lehner |
2+ 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330ck |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3145728 |
Modular degree for the optimal curve |
Δ |
-1.5084451942551E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9596169,11595799053] |
[a1,a2,a3,a4,a6] |
j |
-1139466686381936641/17587891077120 |
j-invariant |
L |
1.2101174684011 |
L(r)(E,1)/r! |
Ω |
0.15126468349736 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110cm1 8190l1 |
Quadratic twists by: -3 -7 |