Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330ex |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-645205028695554600 = -1 · 23 · 316 · 52 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,166468,-28503961] |
[a1,a2,a3,a4,a6] |
Generators |
[163:1633:1] |
Generators of the group modulo torsion |
j |
5948434379159/7522842600 |
j-invariant |
L |
10.426043300743 |
L(r)(E,1)/r! |
Ω |
0.15406451586061 |
Real period |
R |
2.8197178853062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110v2 8190bk2 |
Quadratic twists by: -3 -7 |