Atkin-Lehner |
7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
19943a |
Isogeny class |
Conductor |
19943 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
139601 = 73 · 11 · 37 |
Discriminant |
Eigenvalues |
1 2 2 7- 11+ -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15194,714575] |
[a1,a2,a3,a4,a6] |
j |
1131072957039871/407 |
j-invariant |
L |
3.9219314507033 |
L(r)(E,1)/r! |
Ω |
1.9609657253516 |
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 |
19943b2 |
Quadratic twists by: -7 |