Atkin-Lehner |
2- 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
81900bo |
Isogeny class |
Conductor |
81900 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1175040 |
Modular degree for the optimal curve |
Δ |
8741283052320000 = 28 · 36 · 54 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2298000,-1340820700] |
[a1,a2,a3,a4,a6] |
j |
11506050457600000/74942413 |
j-invariant |
L |
2.9428861309935 |
L(r)(E,1)/r! |
Ω |
0.12262025595016 |
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 |
9100m1 81900k1 |
Quadratic twists by: -3 5 |