Atkin-Lehner |
2+ 3+ 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53040m |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-36215900391290880 = -1 · 211 · 3 · 5 · 132 · 178 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,80320,-2685408] |
[a1,a2,a3,a4,a6] |
j |
27980756504588158/17683545112935 |
j-invariant |
L |
1.6830382185958 |
L(r)(E,1)/r! |
Ω |
0.21037977743556 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26520bf5 |
Quadratic twists by: -4 |