Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
43120ct |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
602112 |
Modular degree for the optimal curve |
Δ |
-241998708771635200 = -1 · 214 · 52 · 79 · 114 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11- 6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-439840,-114597888] |
[a1,a2,a3,a4,a6] |
Generators |
[103920:1209648:125] |
Generators of the group modulo torsion |
j |
-56933326423/1464100 |
j-invariant |
L |
10.05592229829 |
L(r)(E,1)/r! |
Ω |
0.092552114333592 |
Real period |
R |
6.7907162161341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5390bg1 43120by1 |
Quadratic twists by: -4 -7 |