Atkin-Lehner |
3- 5+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
59475k |
Isogeny class |
Conductor |
59475 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5695183817578125 = 34 · 58 · 13 · 614 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-60776,-4485427] |
[a1,a2,a3,a4,a6] |
Generators |
[-18105:150632:125] |
Generators of the group modulo torsion |
j |
1588875081990769/364491764325 |
j-invariant |
L |
10.912527864858 |
L(r)(E,1)/r! |
Ω |
0.30908064440337 |
Real period |
R |
4.4133012138765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998255 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11895b3 |
Quadratic twists by: 5 |