Atkin-Lehner |
2+ 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
42016c |
Isogeny class |
Conductor |
42016 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6432 |
Modular degree for the optimal curve |
Δ |
-672256 = -1 · 29 · 13 · 101 |
Discriminant |
Eigenvalues |
2+ 2 -3 -4 -4 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8,36] |
[a1,a2,a3,a4,a6] |
Generators |
[0:6:1] |
Generators of the group modulo torsion |
j |
97336/1313 |
j-invariant |
L |
4.1770751310859 |
L(r)(E,1)/r! |
Ω |
2.1254701180694 |
Real period |
R |
0.98262381945004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999936 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42016f1 84032b1 |
Quadratic twists by: -4 8 |