Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
43920bb |
Isogeny class |
Conductor |
43920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-38421216000 = -1 · 28 · 39 · 53 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 4 -2 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4968,-135108] |
[a1,a2,a3,a4,a6] |
Generators |
[94:478:1] |
Generators of the group modulo torsion |
j |
-2691145728/7625 |
j-invariant |
L |
4.7873419924851 |
L(r)(E,1)/r! |
Ω |
0.28428272084071 |
Real period |
R |
4.2100184442542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999929 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10980a1 43920bg1 |
Quadratic twists by: -4 -3 |