Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
82800dd |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
109884211200 = 218 · 36 · 52 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-419475,-104570030] |
[a1,a2,a3,a4,a6] |
Generators |
[-55674698:23472:148877] |
Generators of the group modulo torsion |
j |
109348914285625/1472 |
j-invariant |
L |
6.7483219392594 |
L(r)(E,1)/r! |
Ω |
0.18759576692327 |
Real period |
R |
8.9931692654298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964184 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10350q2 9200bc2 82800fp2 |
Quadratic twists by: -4 -3 5 |