Atkin-Lehner |
2+ 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
71232bn |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
35733198864384 = 221 · 38 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 0 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-143969,20975871] |
[a1,a2,a3,a4,a6] |
Generators |
[211:192:1] |
Generators of the group modulo torsion |
j |
1258907355383833/136311336 |
j-invariant |
L |
5.9590359049022 |
L(r)(E,1)/r! |
Ω |
0.62563124701944 |
Real period |
R |
0.59530233804698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986701 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71232by2 2226c2 |
Quadratic twists by: -4 8 |