Atkin-Lehner |
2- 5- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
30550u |
Isogeny class |
Conductor |
30550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
621206144000000000 = 216 · 59 · 133 · 472 |
Discriminant |
Eigenvalues |
2- 0 5- 0 4 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-507055,-133572553] |
[a1,a2,a3,a4,a6] |
j |
7381728688742829/318057545728 |
j-invariant |
L |
2.8701892217377 |
L(r)(E,1)/r! |
Ω |
0.17938682635859 |
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 |
30550i1 |
Quadratic twists by: 5 |