Atkin-Lehner |
2+ 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330bp |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-33702334848000 = -1 · 210 · 310 · 53 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3915,-293819] |
[a1,a2,a3,a4,a6] |
j |
-26543596087/134784000 |
j-invariant |
L |
1.0889283847986 |
L(r)(E,1)/r! |
Ω |
0.27223209588848 |
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 |
19110ch1 57330ch1 |
Quadratic twists by: -3 -7 |