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 |
217032205247578125 = 310 · 57 · 196 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-175447692,-894434014409] |
[a1,a2,a3,a4,a6] |
Generators |
[-5455035132355512600164877211965256:2717509581757656383113461593409203:713337590961864277128143842816] |
Generators of the group modulo torsion |
j |
1114544804970241/405 |
j-invariant |
L |
7.8624928353941 |
L(r)(E,1)/r! |
Ω |
0.041482282015584 |
Real period |
R |
47.384645058042 |
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 |
27075g8 16245d7 225c7 |
Quadratic twists by: -3 5 -19 |