Atkin-Lehner |
2- 3- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37128bc |
Isogeny class |
Conductor |
37128 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
22055814144 = 210 · 32 · 72 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-824,5376] |
[a1,a2,a3,a4,a6] |
j |
60496791268/21538881 |
j-invariant |
L |
2.2130646221349 |
L(r)(E,1)/r! |
Ω |
1.1065323110681 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
74256q2 111384x2 |
Quadratic twists by: -4 -3 |