Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050a |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2995200 |
Modular degree for the optimal curve |
Δ |
1.4539762812199E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 3 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3346992,2285158916] |
[a1,a2,a3,a4,a6] |
Generators |
[50:45996:1] |
Generators of the group modulo torsion |
j |
114075/4 |
j-invariant |
L |
5.173195186064 |
L(r)(E,1)/r! |
Ω |
0.18215259769877 |
Real period |
R |
7.100084286857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983357 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76050dh1 76050dv1 76050dg1 |
Quadratic twists by: -3 5 13 |