Atkin-Lehner |
2- 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
50820g |
Isogeny class |
Conductor |
50820 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-38591852484533040 = -1 · 24 · 38 · 5 · 73 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,33235,-9170478] |
[a1,a2,a3,a4,a6] |
j |
143225913344/1361505915 |
j-invariant |
L |
1.4397198040428 |
L(r)(E,1)/r! |
Ω |
0.17996497557546 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4620f1 |
Quadratic twists by: -11 |