Atkin-Lehner |
2+ 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
82654h |
Isogeny class |
Conductor |
82654 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2655433682035706 = 2 · 114 · 13 · 178 |
Discriminant |
Eigenvalues |
2+ 2 2 2 11- 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-52459,-3925845] |
[a1,a2,a3,a4,a6] |
Generators |
[-2571:13873:27] |
Generators of the group modulo torsion |
j |
661459323097/110012474 |
j-invariant |
L |
9.3906804891536 |
L(r)(E,1)/r! |
Ω |
0.31902370200063 |
Real period |
R |
7.3589206900832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004298 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4862a2 |
Quadratic twists by: 17 |