Atkin-Lehner |
2- 3+ 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
47850ci |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-4306500000000 = -1 · 28 · 33 · 59 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11- 1 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4013,-141469] |
[a1,a2,a3,a4,a6] |
Generators |
[85:332:1] |
Generators of the group modulo torsion |
j |
-3659383421/2204928 |
j-invariant |
L |
8.4483925040924 |
L(r)(E,1)/r! |
Ω |
0.29188313429064 |
Real period |
R |
1.8090272080637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999833 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47850bq1 |
Quadratic twists by: 5 |