Atkin-Lehner |
3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
81225bt |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
32896125 = 36 · 53 · 192 |
Discriminant |
Eigenvalues |
2 3- 5- -4 1 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-855,-9619] |
[a1,a2,a3,a4,a6] |
j |
2101248 |
j-invariant |
L |
3.5316723479482 |
L(r)(E,1)/r! |
Ω |
0.88291812183889 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9025j1 81225bu1 81225bn1 |
Quadratic twists by: -3 5 -19 |