Atkin-Lehner |
2+ 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352x |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2294018725103271936 = 221 · 36 · 7 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-347724,-30306960] |
[a1,a2,a3,a4,a6] |
j |
24331017010833/12004097336 |
j-invariant |
L |
1.6542425098402 |
L(r)(E,1)/r! |
Ω |
0.20678031372549 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352ew3 1386c3 4928h4 |
Quadratic twists by: -4 8 -3 |