Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330dc |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
4858291807551000000 = 26 · 33 · 56 · 712 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-783593,245214057] |
[a1,a2,a3,a4,a6] |
Generators |
[1227:-34228:1] |
Generators of the group modulo torsion |
j |
16751080718799363/1529437000000 |
j-invariant |
L |
7.8493986377029 |
L(r)(E,1)/r! |
Ω |
0.23707424388896 |
Real period |
R |
1.3795605596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000145 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57330j4 8190bf2 |
Quadratic twists by: -3 -7 |