Atkin-Lehner |
2- 3- 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
56550bx |
Isogeny class |
Conductor |
56550 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
7632 |
Modular degree for the optimal curve |
Δ |
-508950 = -1 · 2 · 33 · 52 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,7,-33] |
[a1,a2,a3,a4,a6] |
j |
1503815/20358 |
j-invariant |
L |
4.3187399296795 |
L(r)(E,1)/r! |
Ω |
1.4395799768912 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56550k1 |
Quadratic twists by: 5 |