Atkin-Lehner |
3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
81225be |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-8992978171875 = -1 · 313 · 56 · 192 |
Discriminant |
Eigenvalues |
-1 3- 5+ -1 2 5 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-149180,-22140678] |
[a1,a2,a3,a4,a6] |
Generators |
[4004:250110:1] |
Generators of the group modulo torsion |
j |
-89289015625/2187 |
j-invariant |
L |
3.613324462708 |
L(r)(E,1)/r! |
Ω |
0.12146229912931 |
Real period |
R |
3.7185658518103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000307 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27075d2 3249d2 81225r2 |
Quadratic twists by: -3 5 -19 |