Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520dm |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-5254624051200 = -1 · 228 · 33 · 52 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,852,-109872] |
[a1,a2,a3,a4,a6] |
Generators |
[48:204:1] |
Generators of the group modulo torsion |
j |
9663597/742400 |
j-invariant |
L |
4.6400657927788 |
L(r)(E,1)/r! |
Ω |
0.364064867202 |
Real period |
R |
3.186290551682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014048 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520d1 20880bk1 83520ds1 |
Quadratic twists by: -4 8 -3 |