Atkin-Lehner |
3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
81225bi |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.1942071697363E+22 |
Discriminant |
Eigenvalues |
2 3- 5+ -3 3 -6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-356604825,-2591969158719] |
[a1,a2,a3,a4,a6] |
Generators |
[411588247907415188232446879846312193885518605482875554:156014073087339879142910534404386416608792957793728151969:2814443757000374128446915014949863343124711190216] |
Generators of the group modulo torsion |
j |
-9358714467168256/22284891 |
j-invariant |
L |
10.924760803959 |
L(r)(E,1)/r! |
Ω |
0.017370914920636 |
Real period |
R |
78.613884572808 |
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 |
27075u2 3249f2 4275i2 |
Quadratic twists by: -3 5 -19 |