Atkin-Lehner |
2+ 3- 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
54390be |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
917280 |
Modular degree for the optimal curve |
Δ |
-948231017851950 = -1 · 2 · 321 · 52 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 5 6 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-399978,-97409294] |
[a1,a2,a3,a4,a6] |
j |
-144422342436306640489/19351653425550 |
j-invariant |
L |
3.9866348797843 |
L(r)(E,1)/r! |
Ω |
0.094919878077322 |
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 |
54390b1 |
Quadratic twists by: -7 |