Atkin-Lehner |
2+ 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
120384w |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.5020994559302E+24 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 11+ 4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,25615284,-31418372752] |
[a1,a2,a3,a4,a6] |
j |
9726437216910146543/7860157321308534 |
j-invariant |
L |
3.0135765276612 |
L(r)(E,1)/r! |
Ω |
0.04708714841663 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120384dy2 3762k2 40128k2 |
Quadratic twists by: -4 8 -3 |