Atkin-Lehner |
3- 5+ 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
58575o |
Isogeny class |
Conductor |
58575 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
12062217041015625 = 34 · 512 · 112 · 712 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-665688,-209040633] |
[a1,a2,a3,a4,a6] |
Generators |
[5147:361739:1] |
Generators of the group modulo torsion |
j |
2087929890227365561/771981890625 |
j-invariant |
L |
4.6962951388662 |
L(r)(E,1)/r! |
Ω |
0.16714427504986 |
Real period |
R |
7.024313482132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000193 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11715d2 |
Quadratic twists by: 5 |