Atkin-Lehner |
2- 7+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
50456c |
Isogeny class |
Conductor |
50456 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11776 |
Modular degree for the optimal curve |
Δ |
-85573376 = -1 · 28 · 7 · 17 · 532 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 4 -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31,450] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:18:1] [7:24:1] |
Generators of the group modulo torsion |
j |
-12869712/334271 |
j-invariant |
L |
8.0944631575699 |
L(r)(E,1)/r! |
Ω |
1.6047695599993 |
Real period |
R |
2.5220017126867 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100912c1 |
Quadratic twists by: -4 |