Atkin-Lehner |
2+ 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
120384m |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1136312843010048 = -1 · 215 · 38 · 114 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 11+ -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-82380,-9244208] |
[a1,a2,a3,a4,a6] |
j |
-2588282117000/47568609 |
j-invariant |
L |
2.2519595840005 |
L(r)(E,1)/r! |
Ω |
0.14074749965003 |
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 |
120384bq2 60192y2 40128v2 |
Quadratic twists by: -4 8 -3 |