Atkin-Lehner |
2- 5- 43- 47- |
Signs for the Atkin-Lehner involutions |
Class |
101050s |
Isogeny class |
Conductor |
101050 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
10862875000000 = 26 · 59 · 432 · 47 |
Discriminant |
Eigenvalues |
2- 1 5- 1 -1 1 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7138,-170108] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:274:1] |
Generators of the group modulo torsion |
j |
20593355021/5561792 |
j-invariant |
L |
12.813560013385 |
L(r)(E,1)/r! |
Ω |
0.52990606435957 |
Real period |
R |
1.007533918692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006147 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101050g1 |
Quadratic twists by: 5 |