Atkin-Lehner |
3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
81225ba |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14515200 |
Modular degree for the optimal curve |
Δ |
-5.0241056483018E+24 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -5 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,37524258,61652627041] |
[a1,a2,a3,a4,a6] |
Generators |
[102545009920:14349107358409:30080231] |
Generators of the group modulo torsion |
j |
17446602575/15000633 |
j-invariant |
L |
5.8247897620364 |
L(r)(E,1)/r! |
Ω |
0.049849299057421 |
Real period |
R |
14.605997155865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27075h1 81225bp1 4275h1 |
Quadratic twists by: -3 5 -19 |