Atkin-Lehner |
2- 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
47424dr |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
1280448 = 26 · 34 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-332,-2442] |
[a1,a2,a3,a4,a6] |
Generators |
[87010:796851:1000] |
Generators of the group modulo torsion |
j |
63425726272/20007 |
j-invariant |
L |
9.04632737556 |
L(r)(E,1)/r! |
Ω |
1.1181866425973 |
Real period |
R |
8.0901765688627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47424cj1 23712a4 |
Quadratic twists by: -4 8 |