Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720ed |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
-3.9063245701975E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -6 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14901708,22344518032] |
[a1,a2,a3,a4,a6] |
j |
-1914980734749238129/20440940544000 |
j-invariant |
L |
1.1200591217866 |
L(r)(E,1)/r! |
Ω |
0.14000739057836 |
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 |
54720t1 13680bo1 18240cy1 |
Quadratic twists by: -4 8 -3 |