Atkin-Lehner |
3- 5- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
58905bq |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
7026343025625 = 38 · 54 · 72 · 112 · 172 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11+ -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4982,-44044] |
[a1,a2,a3,a4,a6] |
Generators |
[126:-1211:1] |
Generators of the group modulo torsion |
j |
18755369578009/9638330625 |
j-invariant |
L |
3.8644668324471 |
L(r)(E,1)/r! |
Ω |
0.60062618080377 |
Real period |
R |
0.80425790532899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999356 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19635r2 |
Quadratic twists by: -3 |