Atkin-Lehner |
5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
29645d |
Isogeny class |
Conductor |
29645 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
401213081671325 = 52 · 77 · 117 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 11- -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-60871190,182810845531] |
[a1,a2,a3,a4,a6] |
Generators |
[8934:2722873:8] |
Generators of the group modulo torsion |
j |
119678115308998401/1925 |
j-invariant |
L |
4.4776830549041 |
L(r)(E,1)/r! |
Ω |
0.27321815286278 |
Real period |
R |
4.0971683323262 |
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 |
4235g3 2695c3 |
Quadratic twists by: -7 -11 |