Atkin-Lehner |
2+ 3+ 29- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
50808a |
Isogeny class |
Conductor |
50808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
43898112 = 28 · 34 · 29 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -5 2 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-89,93] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:18:1] [-3:18:1] |
Generators of the group modulo torsion |
j |
307981312/171477 |
j-invariant |
L |
7.2769934321549 |
L(r)(E,1)/r! |
Ω |
1.7547440228315 |
Real period |
R |
0.51837998430787 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101616e1 |
Quadratic twists by: -4 |