Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720bi |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-154530459877376000 = -1 · 219 · 53 · 119 |
Discriminant |
Eigenvalues |
2+ -1 5- 1 11- 2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,69535,17523937] |
[a1,a2,a3,a4,a6] |
Generators |
[224:6655:1] |
Generators of the group modulo torsion |
j |
80062991/332750 |
j-invariant |
L |
5.4386751984555 |
L(r)(E,1)/r! |
Ω |
0.23172819640882 |
Real period |
R |
0.97791926107498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38720df2 1210c2 3520m2 |
Quadratic twists by: -4 8 -11 |