Atkin-Lehner |
2+ 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
76320c |
Isogeny class |
Conductor |
76320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-24269760 = -1 · 26 · 33 · 5 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33,-248] |
[a1,a2,a3,a4,a6] |
j |
-2299968/14045 |
j-invariant |
L |
1.7802577262771 |
L(r)(E,1)/r! |
Ω |
0.89012886088287 |
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 |
76320b1 76320y1 |
Quadratic twists by: -4 -3 |