Atkin-Lehner |
3+ 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
4017a |
Isogeny class |
Conductor |
4017 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
12689703 = 36 · 132 · 103 |
Discriminant |
Eigenvalues |
-1 3+ 2 -2 4 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-542,4628] |
[a1,a2,a3,a4,a6] |
Generators |
[6:37:1] |
Generators of the group modulo torsion |
j |
17610498546913/12689703 |
j-invariant |
L |
2.1265432344093 |
L(r)(E,1)/r! |
Ω |
2.2272355356105 |
Real period |
R |
0.95479045678321 |
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 |
64272w2 12051a2 100425j2 52221a2 |
Quadratic twists by: -4 -3 5 13 |