Atkin-Lehner |
2- 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
81900bp |
Isogeny class |
Conductor |
81900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-264112143750000 = -1 · 24 · 36 · 58 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,13875,-464375] |
[a1,a2,a3,a4,a6] |
j |
64835840/57967 |
j-invariant |
L |
3.6365217799302 |
L(r)(E,1)/r! |
Ω |
0.30304348373955 |
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 |
9100n1 81900l1 |
Quadratic twists by: -3 5 |