Atkin-Lehner |
2- 3+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53040bi |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2674337796000000 = -1 · 28 · 34 · 56 · 134 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 2 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-119276,16089276] |
[a1,a2,a3,a4,a6] |
Generators |
[101:2250:1] |
Generators of the group modulo torsion |
j |
-733071924285340624/10446632015625 |
j-invariant |
L |
3.5518749041816 |
L(r)(E,1)/r! |
Ω |
0.45628501009053 |
Real period |
R |
1.946083492608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999817 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13260j2 |
Quadratic twists by: -4 |