Atkin-Lehner |
2+ 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47424bp |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-426816 = -1 · 26 · 33 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 0 13- 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20,-54] |
[a1,a2,a3,a4,a6] |
Generators |
[9:24:1] |
Generators of the group modulo torsion |
j |
-14526784/6669 |
j-invariant |
L |
8.2280389156577 |
L(r)(E,1)/r! |
Ω |
1.0998117441479 |
Real period |
R |
2.4937719142792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47424x1 23712b1 |
Quadratic twists by: -4 8 |