Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
87120ff |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-31437687600 = -1 · 24 · 310 · 52 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11+ 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,528,7139] |
[a1,a2,a3,a4,a6] |
j |
1048576/2025 |
j-invariant |
L |
3.2311484080493 |
L(r)(E,1)/r! |
Ω |
0.80778711843195 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21780q1 29040bw1 87120fi1 |
Quadratic twists by: -4 -3 -11 |