Atkin-Lehner |
2- 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
43616d |
Isogeny class |
Conductor |
43616 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5504 |
Modular degree for the optimal curve |
Δ |
-87232 = -1 · 26 · 29 · 47 |
Discriminant |
Eigenvalues |
2- -2 0 1 -3 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-298,1884] |
[a1,a2,a3,a4,a6] |
Generators |
[10:2:1] |
Generators of the group modulo torsion |
j |
-45882712000/1363 |
j-invariant |
L |
3.6952326227494 |
L(r)(E,1)/r! |
Ω |
3.1687681651842 |
Real period |
R |
0.58307083859198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999849 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43616f1 87232l1 |
Quadratic twists by: -4 8 |