Atkin-Lehner |
2+ 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352bc |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
40886659345416192 = 217 · 314 · 72 · 113 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 11+ 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2037612,1119473840] |
[a1,a2,a3,a4,a6] |
j |
9791533777258802/427901859 |
j-invariant |
L |
1.3632138685238 |
L(r)(E,1)/r! |
Ω |
0.34080346718965 |
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 |
44352fc2 5544r2 14784l2 |
Quadratic twists by: -4 8 -3 |