Atkin-Lehner |
3- 5+ 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
83325n |
Isogeny class |
Conductor |
83325 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
610229498291015625 = 34 · 514 · 112 · 1012 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-52078126,144649882523] |
[a1,a2,a3,a4,a6] |
Generators |
[30726477:227920516:6859] |
Generators of the group modulo torsion |
j |
999700059993000599970001/39054687890625 |
j-invariant |
L |
8.9238736405254 |
L(r)(E,1)/r! |
Ω |
0.21436161693819 |
Real period |
R |
10.407499446904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001836 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16665b2 |
Quadratic twists by: 5 |