Atkin-Lehner |
2- 3- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
61446cm |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
602784 |
Modular degree for the optimal curve |
Δ |
29610231619584 = 213 · 3 · 78 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 11+ 6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-406505,99723609] |
[a1,a2,a3,a4,a6] |
j |
1288656397392721/5136384 |
j-invariant |
L |
7.5659709301078 |
L(r)(E,1)/r! |
Ω |
0.58199776384133 |
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 |
61446bo1 |
Quadratic twists by: -7 |