Atkin-Lehner |
2- 3- 5- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
120780bc |
Isogeny class |
Conductor |
120780 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
1.8319916831535E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-281127207,1814270966494] |
[a1,a2,a3,a4,a6] |
Generators |
[10223:-93330:1] [3275909:7548750:343] |
Generators of the group modulo torsion |
j |
13166333522338246607608144/9816484927734375 |
j-invariant |
L |
12.815811853389 |
L(r)(E,1)/r! |
Ω |
0.12332806744138 |
Real period |
R |
0.96218911952543 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999953 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40260g2 |
Quadratic twists by: -3 |