Atkin-Lehner |
3+ 5+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
36975n |
Isogeny class |
Conductor |
36975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2818072734375 = 3 · 57 · 17 · 294 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 0 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-34438,2444156] |
[a1,a2,a3,a4,a6] |
Generators |
[121:198:1] |
Generators of the group modulo torsion |
j |
289080128689561/180356655 |
j-invariant |
L |
3.258093681186 |
L(r)(E,1)/r! |
Ω |
0.79691460926856 |
Real period |
R |
4.0883849327055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
110925q4 7395k4 |
Quadratic twists by: -3 5 |