Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330t |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-616120808940000 = -1 · 25 · 312 · 54 · 73 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-765,-1194075] |
[a1,a2,a3,a4,a6] |
Generators |
[177:1959:1] |
Generators of the group modulo torsion |
j |
-198155287/2464020000 |
j-invariant |
L |
4.0670541432823 |
L(r)(E,1)/r! |
Ω |
0.23414212840397 |
Real period |
R |
2.1712528684295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998617 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110cy2 57330co2 |
Quadratic twists by: -3 -7 |