Atkin-Lehner |
2+ 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
85200bg |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
89600 |
Modular degree for the optimal curve |
Δ |
426000000000 = 210 · 3 · 59 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9208,335588] |
[a1,a2,a3,a4,a6] |
j |
43175444/213 |
j-invariant |
L |
1.8956388992495 |
L(r)(E,1)/r! |
Ω |
0.94781939706419 |
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 |
42600u1 85200q1 |
Quadratic twists by: -4 5 |