Atkin-Lehner |
2+ 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
120384bq |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
128 |
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] |
Generators |
[86:-1672:1] [-218:4104:1] |
Generators of the group modulo torsion |
j |
-2588282117000/47568609 |
j-invariant |
L |
10.3965771422 |
L(r)(E,1)/r! |
Ω |
0.48913401731831 |
Real period |
R |
0.66422089657968 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120384m2 60192c2 40128c2 |
Quadratic twists by: -4 8 -3 |