Atkin-Lehner |
2+ 3+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
81984j |
Isogeny class |
Conductor |
81984 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
-1.4947704699502E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ -4 2 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1042497,-1904374719] |
[a1,a2,a3,a4,a6] |
j |
-477978815192585617/5702096824455969 |
j-invariant |
L |
1.28712859242 |
L(r)(E,1)/r! |
Ω |
0.064356428725597 |
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 |
81984cw1 1281c1 |
Quadratic twists by: -4 8 |