Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
43120cw |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-43120 = -1 · 24 · 5 · 72 · 11 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11- -5 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30,55] |
[a1,a2,a3,a4,a6] |
Generators |
[3:1:1] |
Generators of the group modulo torsion |
j |
-3937024/55 |
j-invariant |
L |
3.167151513889 |
L(r)(E,1)/r! |
Ω |
3.6196484023489 |
Real period |
R |
0.87498871764332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10780l1 43120ba1 |
Quadratic twists by: -4 -7 |