Atkin-Lehner |
3- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
50901i |
Isogeny class |
Conductor |
50901 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6192 |
Modular degree for the optimal curve |
Δ |
152703 = 32 · 192 · 47 |
Discriminant |
Eigenvalues |
-1 3- 2 -2 -5 6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17,18] |
[a1,a2,a3,a4,a6] |
Generators |
[1:1:1] |
Generators of the group modulo torsion |
j |
1510633/423 |
j-invariant |
L |
4.4681061418392 |
L(r)(E,1)/r! |
Ω |
3.0256943307155 |
Real period |
R |
0.738360464312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000118 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50901a1 |
Quadratic twists by: -19 |