Atkin-Lehner |
2+ 3+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
110448d |
Isogeny class |
Conductor |
110448 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
47104 |
Modular degree for the optimal curve |
Δ |
-1251154944 = -1 · 210 · 33 · 13 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 -4 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-459,-4150] |
[a1,a2,a3,a4,a6] |
j |
-386810316/45253 |
j-invariant |
L |
2.0494223043246 |
L(r)(E,1)/r! |
Ω |
0.51235552292335 |
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 |
55224b1 110448b1 |
Quadratic twists by: -4 -3 |