Atkin-Lehner |
2- 3+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
14448j |
Isogeny class |
Conductor |
14448 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-651322616112 = -1 · 24 · 35 · 72 · 434 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -2 -6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4233,-111492] |
[a1,a2,a3,a4,a6] |
j |
-524386048000000/40707663507 |
j-invariant |
L |
0.29462442787214 |
L(r)(E,1)/r! |
Ω |
0.29462442787214 |
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 |
3612h1 57792cs1 43344w1 101136cg1 |
Quadratic twists by: -4 8 -3 -7 |