Atkin-Lehner |
2+ 3- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
117648a |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
8.3008513860354E+21 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 2 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16387275,25154290154] |
[a1,a2,a3,a4,a6] |
Generators |
[-4637:37926:1] |
Generators of the group modulo torsion |
j |
651953246915592062500/11119753335631203 |
j-invariant |
L |
7.1598365192321 |
L(r)(E,1)/r! |
Ω |
0.13109843325941 |
Real period |
R |
4.5511836382576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999801877 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58824i2 39216a2 |
Quadratic twists by: -4 -3 |