Atkin-Lehner |
5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
19855c |
Isogeny class |
Conductor |
19855 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7.1587553329814E+26 |
Discriminant |
Eigenvalues |
-1 0 5- 0 11+ -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-367060897,2381187629246] |
[a1,a2,a3,a4,a6] |
Generators |
[15513939:1487547161:729] |
Generators of the group modulo torsion |
j |
116256292809537371612841/15216540068579856875 |
j-invariant |
L |
2.5902571639472 |
L(r)(E,1)/r! |
Ω |
0.048915993801699 |
Real period |
R |
13.238293667547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99275a4 1045b3 |
Quadratic twists by: 5 -19 |