Atkin-Lehner |
2- 3- 5+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109650da |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
-199837125000 = -1 · 23 · 37 · 56 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 5 -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5113,-142783] |
[a1,a2,a3,a4,a6] |
j |
-946098541513/12789576 |
j-invariant |
L |
5.923387535878 |
L(r)(E,1)/r! |
Ω |
0.28206609817979 |
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 |
4386c1 |
Quadratic twists by: 5 |