Atkin-Lehner |
2- 3+ 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
43800x |
Isogeny class |
Conductor |
43800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
54720 |
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 |
0.88800764785817 |
L(r)(E,1)/r! |
Ω |
0.29600254930132 |
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 |
87600z1 43800m1 |
Quadratic twists by: -4 5 |