Atkin-Lehner |
2- 3- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
50562y |
Isogeny class |
Conductor |
50562 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
-416193108577410078 = -1 · 2 · 311 · 537 |
Discriminant |
Eigenvalues |
2- 3- 0 1 -5 0 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,50035,30725939] |
[a1,a2,a3,a4,a6] |
Generators |
[124446:15460307:8] |
Generators of the group modulo torsion |
j |
857375/25758 |
j-invariant |
L |
8.9812479184506 |
L(r)(E,1)/r! |
Ω |
0.22498208846808 |
Real period |
R |
4.9899794132591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16854d1 954d1 |
Quadratic twists by: -3 53 |