Atkin-Lehner |
2+ 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
50050f |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
66608640 |
Modular degree for the optimal curve |
Δ |
7.5922255252838E+24 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 11+ 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10364616501,406141176991148] |
[a1,a2,a3,a4,a6] |
j |
7880674655180529862975333650241/485902433618164062500 |
j-invariant |
L |
0.33591134198625 |
L(r)(E,1)/r! |
Ω |
0.055985223692556 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010v1 |
Quadratic twists by: 5 |