Atkin-Lehner |
2+ 3+ 5- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13110h |
Isogeny class |
Conductor |
13110 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
126164412052023600 = 24 · 322 · 52 · 19 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -2 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-839232,295074576] |
[a1,a2,a3,a4,a6] |
Generators |
[572:1324:1] |
Generators of the group modulo torsion |
j |
65368817122122518102281/126164412052023600 |
j-invariant |
L |
3.4288441132053 |
L(r)(E,1)/r! |
Ω |
0.33032458595605 |
Real period |
R |
2.5950566949787 |
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 |
104880dd2 39330bp2 65550cj2 |
Quadratic twists by: -4 -3 5 |