Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
50460c |
Isogeny class |
Conductor |
50460 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5950800 |
Modular degree for the optimal curve |
Δ |
-4.8623951339809E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 0 -6 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-76548941,257812256505] |
[a1,a2,a3,a4,a6] |
Generators |
[135921:70750:27] |
Generators of the group modulo torsion |
j |
-387362281529344/3796875 |
j-invariant |
L |
4.7955358350913 |
L(r)(E,1)/r! |
Ω |
0.14980007588512 |
Real period |
R |
5.3354844301227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999868 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50460k1 |
Quadratic twists by: 29 |