Atkin-Lehner |
2- 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
4650bu |
Isogeny class |
Conductor |
4650 |
Conductor |
∏ cp |
170 |
Product of Tamagawa factors cp |
deg |
489600 |
Modular degree for the optimal curve |
Δ |
-93722572800000000 = -1 · 217 · 310 · 58 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 -1 -5 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-50482013,-138059515983] |
[a1,a2,a3,a4,a6] |
j |
-36422828671263791996785/239929786368 |
j-invariant |
L |
4.8143129092318 |
L(r)(E,1)/r! |
Ω |
0.028319487701364 |
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 |
37200co1 13950bm1 4650d1 |
Quadratic twists by: -4 -3 5 |