Atkin-Lehner |
2- 3+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928ct |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-36046720991232 = -1 · 227 · 33 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -3 1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7380,154576] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:180:1] |
Generators of the group modulo torsion |
j |
6280426125/5092864 |
j-invariant |
L |
5.5415620338105 |
L(r)(E,1)/r! |
Ω |
0.42029761058062 |
Real period |
R |
3.2962131477144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999892002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116928p1 29232q1 116928cp2 |
Quadratic twists by: -4 8 -3 |