Atkin-Lehner |
2- 5- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
42550y |
Isogeny class |
Conductor |
42550 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-9052512500000 = -1 · 25 · 58 · 232 · 372 |
Discriminant |
Eigenvalues |
2- -1 5- 2 5 0 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-54263,4844781] |
[a1,a2,a3,a4,a6] |
Generators |
[85:-968:1] |
Generators of the group modulo torsion |
j |
-45235102581265/23174432 |
j-invariant |
L |
8.6419100960801 |
L(r)(E,1)/r! |
Ω |
0.72109139848416 |
Real period |
R |
0.19974144087339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42550a1 |
Quadratic twists by: 5 |