Atkin-Lehner |
2- 3+ 5- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
87450ca |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-240487500000 = -1 · 25 · 3 · 58 · 112 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 11- 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16513,-823969] |
[a1,a2,a3,a4,a6] |
Generators |
[181:1378:1] |
Generators of the group modulo torsion |
j |
-1274803549105/615648 |
j-invariant |
L |
10.505752492244 |
L(r)(E,1)/r! |
Ω |
0.21057186638476 |
Real period |
R |
4.9891529524978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003217 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87450ba1 |
Quadratic twists by: 5 |