Atkin-Lehner |
2- 3+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
33840bj |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
569897739878400 = 219 · 39 · 52 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 4 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-297027,62297154] |
[a1,a2,a3,a4,a6] |
j |
35946801891027/7068800 |
j-invariant |
L |
4.0207892464201 |
L(r)(E,1)/r! |
Ω |
0.50259865580271 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4230f2 33840v2 |
Quadratic twists by: -4 -3 |