Atkin-Lehner |
3- 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
38325m |
Isogeny class |
Conductor |
38325 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-5397860671875 = -1 · 33 · 56 · 74 · 732 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 2 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1737,-108108] |
[a1,a2,a3,a4,a6] |
Generators |
[48:270:1] |
Generators of the group modulo torsion |
j |
37092620375/345463083 |
j-invariant |
L |
4.0059537652058 |
L(r)(E,1)/r! |
Ω |
0.37722474351039 |
Real period |
R |
1.7699235597704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114975r2 1533a2 |
Quadratic twists by: -3 5 |