Atkin-Lehner |
2+ 5- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
50050ba |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
3709440 |
Modular degree for the optimal curve |
Δ |
-8.791561402214E+19 |
Discriminant |
Eigenvalues |
2+ 3 5- 7+ 11- 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1595557,897774101] |
[a1,a2,a3,a4,a6] |
j |
-3593774502791903259549/703324912177119232 |
j-invariant |
L |
3.3012284706627 |
L(r)(E,1)/r! |
Ω |
0.18340158170747 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50050cg1 |
Quadratic twists by: 5 |