Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59150bu |
Isogeny class |
Conductor |
59150 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-852469947875000000 = -1 · 26 · 59 · 79 · 132 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 0 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-93688,-45811719] |
[a1,a2,a3,a4,a6] |
Generators |
[555:8297:1] |
Generators of the group modulo torsion |
j |
-34440478374289/322828856000 |
j-invariant |
L |
8.0177529281257 |
L(r)(E,1)/r! |
Ω |
0.11916762422407 |
Real period |
R |
0.62297501961266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11830f2 59150a2 |
Quadratic twists by: 5 13 |