Atkin-Lehner |
2- 3- 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
51888p |
Isogeny class |
Conductor |
51888 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-1078818766848 = -1 · 218 · 34 · 23 · 472 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -6 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1384,53300] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-192:1] |
Generators of the group modulo torsion |
j |
-71628489577/263383488 |
j-invariant |
L |
4.7605987783605 |
L(r)(E,1)/r! |
Ω |
0.76313339081862 |
Real period |
R |
0.77977828575259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6486i1 |
Quadratic twists by: -4 |