Atkin-Lehner |
2+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
47432b |
Isogeny class |
Conductor |
47432 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
240240 |
Modular degree for the optimal curve |
Δ |
163403145989776 = 24 · 78 · 116 |
Discriminant |
Eigenvalues |
2+ 3 -1 7+ 11- -2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41503,3195731] |
[a1,a2,a3,a4,a6] |
j |
48384 |
j-invariant |
L |
3.4448204370122 |
L(r)(E,1)/r! |
Ω |
0.57413673963448 |
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 |
94864e1 47432m1 392e1 |
Quadratic twists by: -4 -7 -11 |