Atkin-Lehner |
2+ 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
87600z |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
109440 |
Modular degree for the optimal curve |
Δ |
-175200000000 = -1 · 211 · 3 · 58 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 6 3 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4208,105588] |
[a1,a2,a3,a4,a6] |
j |
-10303010/219 |
j-invariant |
L |
6.0910635888217 |
L(r)(E,1)/r! |
Ω |
1.0151772579875 |
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 |
43800x1 87600c1 |
Quadratic twists by: -4 5 |