Atkin-Lehner |
2+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
4144d |
Isogeny class |
Conductor |
4144 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4896 |
Modular degree for the optimal curve |
Δ |
39711952 = 24 · 72 · 373 |
Discriminant |
Eigenvalues |
2+ 0 -4 7- 4 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16882,844275] |
[a1,a2,a3,a4,a6] |
j |
33256413948450816/2481997 |
j-invariant |
L |
0.77720108246921 |
L(r)(E,1)/r! |
Ω |
1.5544021649384 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2072e1 16576q1 37296bd1 103600e1 |
Quadratic twists by: -4 8 -3 5 |