Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360db |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
218581173959270400 = 213 · 32 · 52 · 179 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-242320816,1451810846420] |
[a1,a2,a3,a4,a6] |
Generators |
[-5174:1602216:1] |
Generators of the group modulo torsion |
j |
15916310615119911121/2210850 |
j-invariant |
L |
7.590029378942 |
L(r)(E,1)/r! |
Ω |
0.18029633628073 |
Real period |
R |
5.2621905247124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994827 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8670n4 4080v4 |
Quadratic twists by: -4 17 |