Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520ei |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2.9654710038826E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12303147,-14396197286] |
[a1,a2,a3,a4,a6] |
Generators |
[-302805:4315738:125] |
Generators of the group modulo torsion |
j |
68973914606086620649/9931302391046400 |
j-invariant |
L |
6.176577878227 |
L(r)(E,1)/r! |
Ω |
0.081385224218678 |
Real period |
R |
9.4866389098348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000257 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8190bn2 21840bw2 |
Quadratic twists by: -4 -3 |