Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
110544bf |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-12739974912 = -1 · 28 · 32 · 76 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,572,-1156] |
[a1,a2,a3,a4,a6] |
Generators |
[394:3087:8] |
Generators of the group modulo torsion |
j |
686000/423 |
j-invariant |
L |
8.872778958883 |
L(r)(E,1)/r! |
Ω |
0.72998421958203 |
Real period |
R |
3.0386886185624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997595 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55272s1 2256b1 |
Quadratic twists by: -4 -7 |