Atkin-Lehner |
3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
81225z |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.8839601149963E+21 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2841183,-982163534] |
[a1,a2,a3,a4,a6] |
Generators |
[233469139985936984:-14752154772514796617:74810045011456] |
Generators of the group modulo torsion |
j |
4733169839/3515625 |
j-invariant |
L |
7.8624928353941 |
L(r)(E,1)/r! |
Ω |
0.082964564031169 |
Real period |
R |
23.692322529021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966547 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27075g5 16245d6 225c6 |
Quadratic twists by: -3 5 -19 |