Atkin-Lehner |
2- 19- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
24016g |
Isogeny class |
Conductor |
24016 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
119617355776 = 222 · 192 · 79 |
Discriminant |
Eigenvalues |
2- -1 -1 -1 2 -5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3216,-67136] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:38:1] |
Generators of the group modulo torsion |
j |
898352786449/29203456 |
j-invariant |
L |
3.0881044379768 |
L(r)(E,1)/r! |
Ω |
0.63522028631302 |
Real period |
R |
1.2153675286021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3002d1 96064o1 |
Quadratic twists by: -4 8 |