Atkin-Lehner |
3- 5- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
29205k |
Isogeny class |
Conductor |
29205 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
3413846250067584375 = 311 · 55 · 116 · 592 |
Discriminant |
Eigenvalues |
1 3- 5- -4 11+ 6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-36464724,84762544405] |
[a1,a2,a3,a4,a6] |
Generators |
[3156:31697:1] |
Generators of the group modulo torsion |
j |
7355547134092593010029889/4682916666759375 |
j-invariant |
L |
5.6817097929458 |
L(r)(E,1)/r! |
Ω |
0.20704786927224 |
Real period |
R |
1.3720763736707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9735c2 |
Quadratic twists by: -3 |