Atkin-Lehner |
2- 3- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
83304t |
Isogeny class |
Conductor |
83304 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-35469398375424 = -1 · 210 · 311 · 133 · 89 |
Discriminant |
Eigenvalues |
2- 3- 3 3 1 13- 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4029,269102] |
[a1,a2,a3,a4,a6] |
j |
9689202428/47514519 |
j-invariant |
L |
5.6246126391285 |
L(r)(E,1)/r! |
Ω |
0.46871772062555 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27768d1 |
Quadratic twists by: -3 |