Atkin-Lehner |
3- 5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
46725u |
Isogeny class |
Conductor |
46725 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19440 |
Modular degree for the optimal curve |
Δ |
-327075 = -1 · 3 · 52 · 72 · 89 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 6 6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-288,-1981] |
[a1,a2,a3,a4,a6] |
j |
-106039644160/13083 |
j-invariant |
L |
10.427138357853 |
L(r)(E,1)/r! |
Ω |
0.57928546431203 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46725m1 |
Quadratic twists by: 5 |