Atkin-Lehner |
2- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
43120ch |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
-14874675200000 = -1 · 214 · 55 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 3 5- 7+ 11- -6 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7987,-331534] |
[a1,a2,a3,a4,a6] |
j |
-5729578281/1512500 |
j-invariant |
L |
4.9813915554433 |
L(r)(E,1)/r! |
Ω |
0.24906957776306 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5390l1 43120ca1 |
Quadratic twists by: -4 -7 |