Atkin-Lehner |
2- 5+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
50350l |
Isogeny class |
Conductor |
50350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30336 |
Modular degree for the optimal curve |
Δ |
402800 = 24 · 52 · 19 · 53 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 0 -6 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1988,33952] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-10:1] |
Generators of the group modulo torsion |
j |
34757337195625/16112 |
j-invariant |
L |
5.5030935740773 |
L(r)(E,1)/r! |
Ω |
2.4456435169755 |
Real period |
R |
0.56254044547725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50350g1 |
Quadratic twists by: 5 |