Atkin-Lehner |
2- 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
81900o |
Isogeny class |
Conductor |
81900 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-4527636750000 = -1 · 24 · 37 · 56 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6600,-230375] |
[a1,a2,a3,a4,a6] |
j |
-174456832/24843 |
j-invariant |
L |
3.1531854817875 |
L(r)(E,1)/r! |
Ω |
0.26276545551347 |
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 |
27300m1 3276j1 |
Quadratic twists by: -3 5 |