Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330dx |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-2132238396899520 = -1 · 26 · 321 · 5 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,31522,-551379] |
[a1,a2,a3,a4,a6] |
j |
96973777690391/59691453120 |
j-invariant |
L |
3.2165036476003 |
L(r)(E,1)/r! |
Ω |
0.26804197078276 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19110k1 57330eu1 |
Quadratic twists by: -3 -7 |