Atkin-Lehner |
2- 3- 5+ 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
111690br |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
3288394264250880 = 29 · 36 · 5 · 176 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 -4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-392468,94693367] |
[a1,a2,a3,a4,a6] |
Generators |
[301:1789:1] |
Generators of the group modulo torsion |
j |
9170814373229132281/4510828894720 |
j-invariant |
L |
10.472778781393 |
L(r)(E,1)/r! |
Ω |
0.44094903086263 |
Real period |
R |
3.9584237845815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999924227 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
12410c2 |
Quadratic twists by: -3 |