Atkin-Lehner |
2- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
42016d |
Isogeny class |
Conductor |
42016 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25152 |
Modular degree for the optimal curve |
Δ |
-11474737664 = -1 · 29 · 133 · 1012 |
Discriminant |
Eigenvalues |
2- 1 3 1 0 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-944,-12616] |
[a1,a2,a3,a4,a6] |
Generators |
[290:4918:1] |
Generators of the group modulo torsion |
j |
-181898748296/22411597 |
j-invariant |
L |
8.6186321812571 |
L(r)(E,1)/r! |
Ω |
0.42766358212905 |
Real period |
R |
5.0382079170444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42016a1 84032h1 |
Quadratic twists by: -4 8 |