Atkin-Lehner |
2- 3- 37- 73- |
Signs for the Atkin-Lehner involutions |
Class |
32412d |
Isogeny class |
Conductor |
32412 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
143844885394176 = 28 · 3 · 376 · 73 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 0 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18052,-739900] |
[a1,a2,a3,a4,a6] |
Generators |
[3148:176490:1] |
Generators of the group modulo torsion |
j |
2541462928126288/561894083571 |
j-invariant |
L |
7.8032250904865 |
L(r)(E,1)/r! |
Ω |
0.41837145330065 |
Real period |
R |
4.1447618053949 |
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 |
129648s2 97236n2 |
Quadratic twists by: -4 -3 |