Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44688bx |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
21534713905152 = 216 · 3 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8248,185200] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:686:1] |
Generators of the group modulo torsion |
j |
128787625/44688 |
j-invariant |
L |
4.7467447114047 |
L(r)(E,1)/r! |
Ω |
0.62468240062286 |
Real period |
R |
1.8996632155276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5586s1 6384bg1 |
Quadratic twists by: -4 -7 |