Atkin-Lehner |
2- 3+ 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
51888l |
Isogeny class |
Conductor |
51888 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-3145835524128768 = -1 · 220 · 310 · 23 · 472 |
Discriminant |
Eigenvalues |
2- 3+ -4 2 4 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3800,2701296] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:1664:1] |
Generators of the group modulo torsion |
j |
-1481933914201/768026251008 |
j-invariant |
L |
3.830825190444 |
L(r)(E,1)/r! |
Ω |
0.36366944333574 |
Real period |
R |
2.6334527553848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000097 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6486m1 |
Quadratic twists by: -4 |