Atkin-Lehner |
2+ 3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
110544x |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
-1316247408 = -1 · 24 · 36 · 74 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 6 6 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7464,-250713] |
[a1,a2,a3,a4,a6] |
j |
-1197249448192/34263 |
j-invariant |
L |
4.6226771535782 |
L(r)(E,1)/r! |
Ω |
0.25681539657423 |
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 |
55272o1 110544s1 |
Quadratic twists by: -4 -7 |