Atkin-Lehner |
2- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
12880x |
Isogeny class |
Conductor |
12880 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-8.4761523787384E+19 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 6 -1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2606310,-1678138133] |
[a1,a2,a3,a4,a6] |
j |
-122372013839654770813696/5297595236711512175 |
j-invariant |
L |
2.1333748272286 |
L(r)(E,1)/r! |
Ω |
0.059260411867462 |
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 |
3220c2 51520bo2 115920cx2 64400bq2 |
Quadratic twists by: -4 8 -3 5 |