Atkin-Lehner |
2+ 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
38160d |
Isogeny class |
Conductor |
38160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-989107200 = -1 · 210 · 36 · 52 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 1 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-363,-3062] |
[a1,a2,a3,a4,a6] |
j |
-7086244/1325 |
j-invariant |
L |
2.1655702610136 |
L(r)(E,1)/r! |
Ω |
0.54139256525386 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19080i1 4240a1 |
Quadratic twists by: -4 -3 |