Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330do |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1049391030431016000 = 26 · 36 · 53 · 712 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-418298,-91622919] |
[a1,a2,a3,a4,a6] |
j |
94376601570889/12235496000 |
j-invariant |
L |
2.2719831679091 |
L(r)(E,1)/r! |
Ω |
0.1893319306165 |
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 |
6370h3 8190bu3 |
Quadratic twists by: -3 -7 |