Atkin-Lehner |
2+ 3+ 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
56550m |
Isogeny class |
Conductor |
56550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8107008 |
Modular degree for the optimal curve |
Δ |
3.6891202380686E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -6 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17959390,-2057458700] |
[a1,a2,a3,a4,a6] |
j |
5124936415700503726537949/2951296190454901506048 |
j-invariant |
L |
0.31935531570313 |
L(r)(E,1)/r! |
Ω |
0.079838829086291 |
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 |
56550cf1 |
Quadratic twists by: 5 |