Atkin-Lehner |
3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
81225bo |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-1272719722130859375 = -1 · 36 · 59 · 197 |
Discriminant |
Eigenvalues |
1 3- 5- -2 4 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,25383,54249416] |
[a1,a2,a3,a4,a6] |
j |
27/19 |
j-invariant |
L |
0.84904350475307 |
L(r)(E,1)/r! |
Ω |
0.2122608737528 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9025h1 81225bq1 4275q1 |
Quadratic twists by: -3 5 -19 |