Atkin-Lehner |
2- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
11872d |
Isogeny class |
Conductor |
11872 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-563777536 = -1 · 212 · 72 · 532 |
Discriminant |
Eigenvalues |
2- 2 -2 7+ 0 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,191,-591] |
[a1,a2,a3,a4,a6] |
j |
187149248/137641 |
j-invariant |
L |
1.8370658314933 |
L(r)(E,1)/r! |
Ω |
0.91853291574667 |
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 |
11872b2 23744i1 106848i2 83104l2 |
Quadratic twists by: -4 8 -3 -7 |