Atkin-Lehner |
2- 3+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
38160be |
Isogeny class |
Conductor |
38160 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-732672000 = -1 · 212 · 33 · 53 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 6 0 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,48,-1296] |
[a1,a2,a3,a4,a6] |
j |
110592/6625 |
j-invariant |
L |
4.5921863442755 |
L(r)(E,1)/r! |
Ω |
0.76536439070735 |
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 |
2385d1 38160q1 |
Quadratic twists by: -4 -3 |