Atkin-Lehner |
2- 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
87600ca |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-919589760000000 = -1 · 213 · 39 · 57 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5408,-1468812] |
[a1,a2,a3,a4,a6] |
Generators |
[178:1800:1] |
Generators of the group modulo torsion |
j |
-273359449/14368590 |
j-invariant |
L |
8.6857036419963 |
L(r)(E,1)/r! |
Ω |
0.21820625798916 |
Real period |
R |
0.27642372379936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002166 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10950r1 17520k1 |
Quadratic twists by: -4 5 |