Atkin-Lehner |
2- 3+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
55272p |
Isogeny class |
Conductor |
55272 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-39016173168 = -1 · 24 · 32 · 78 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ -2 4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-800,13161] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:147:1] |
Generators of the group modulo torsion |
j |
-614656/423 |
j-invariant |
L |
3.611130207053 |
L(r)(E,1)/r! |
Ω |
1.0609940044192 |
Real period |
R |
0.28362791495693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999734 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110544y1 55272bi1 |
Quadratic twists by: -4 -7 |