Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720do |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
304012828800000 = 210 · 36 · 55 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33168,2168408] |
[a1,a2,a3,a4,a6] |
Generators |
[73:369:1] |
Generators of the group modulo torsion |
j |
5405726654464/407253125 |
j-invariant |
L |
3.9595297853945 |
L(r)(E,1)/r! |
Ω |
0.53373623914912 |
Real period |
R |
3.7092570214548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000144 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720be1 13680bv1 6080u1 |
Quadratic twists by: -4 8 -3 |