Atkin-Lehner |
2- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
48800j |
Isogeny class |
Conductor |
48800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-3904000000 = -1 · 212 · 56 · 61 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 3 7 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-433,-4737] |
[a1,a2,a3,a4,a6] |
j |
-140608/61 |
j-invariant |
L |
2.0495269705793 |
L(r)(E,1)/r! |
Ω |
0.51238174271184 |
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 |
48800b1 97600p1 1952a1 |
Quadratic twists by: -4 8 5 |