Atkin-Lehner |
2+ 3+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
50286a |
Isogeny class |
Conductor |
50286 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6866640 |
Modular degree for the optimal curve |
Δ |
-7.621696747045E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 0 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10483625,43984045701] |
[a1,a2,a3,a4,a6] |
Generators |
[970288585:144262011949:42875] |
Generators of the group modulo torsion |
j |
-63207555765625/378061498368 |
j-invariant |
L |
2.5853414149378 |
L(r)(E,1)/r! |
Ω |
0.077546167567201 |
Real period |
R |
16.669691720725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50286m1 |
Quadratic twists by: 17 |