Atkin-Lehner |
2+ 3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
40992k |
Isogeny class |
Conductor |
40992 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
2024676864 = 29 · 33 · 74 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17584,-903364] |
[a1,a2,a3,a4,a6] |
Generators |
[1687:69090:1] |
Generators of the group modulo torsion |
j |
1174441730894216/3954447 |
j-invariant |
L |
6.8772524214814 |
L(r)(E,1)/r! |
Ω |
0.41458937268431 |
Real period |
R |
5.5293686352445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40992m4 81984r4 122976bj4 |
Quadratic twists by: -4 8 -3 |