Atkin-Lehner |
2+ 3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
12144b |
Isogeny class |
Conductor |
12144 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
147476736 = 28 · 32 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-132,0] |
[a1,a2,a3,a4,a6] |
j |
1001132368/576081 |
j-invariant |
L |
1.5313986421359 |
L(r)(E,1)/r! |
Ω |
1.5313986421359 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6072l2 48576dw2 36432n2 |
Quadratic twists by: -4 8 -3 |