Atkin-Lehner |
2+ 5- 43- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
101050k |
Isogeny class |
Conductor |
101050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
504000 |
Modular degree for the optimal curve |
Δ |
-686058449218750 = -1 · 2 · 59 · 433 · 472 |
Discriminant |
Eigenvalues |
2+ 0 5- 3 -2 -1 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-73367,-7733709] |
[a1,a2,a3,a4,a6] |
Generators |
[1269:43428:1] |
Generators of the group modulo torsion |
j |
-22361415213717/351261926 |
j-invariant |
L |
5.0828604452296 |
L(r)(E,1)/r! |
Ω |
0.1449068038345 |
Real period |
R |
2.9230629047426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101050r1 |
Quadratic twists by: 5 |