Atkin-Lehner |
2+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
56144c |
Isogeny class |
Conductor |
56144 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
633600 |
Modular degree for the optimal curve |
Δ |
1125567218602052864 = 28 · 118 · 295 |
Discriminant |
Eigenvalues |
2+ 0 -2 1 11- 3 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-260876,-4977940] |
[a1,a2,a3,a4,a6] |
j |
35780355072/20511149 |
j-invariant |
L |
2.7505445800704 |
L(r)(E,1)/r! |
Ω |
0.22921204831446 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28072b1 56144d1 |
Quadratic twists by: -4 -11 |