Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
81120bt |
Isogeny class |
Conductor |
81120 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
838656 |
Modular degree for the optimal curve |
Δ |
12369088068667200 = 26 · 36 · 52 · 139 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 2 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-93006,9485100] |
[a1,a2,a3,a4,a6] |
j |
131096512/18225 |
j-invariant |
L |
4.6196453636734 |
L(r)(E,1)/r! |
Ω |
0.38497044289969 |
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 |
81120g1 81120y1 |
Quadratic twists by: -4 13 |