Atkin-Lehner |
2+ 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
42016b |
Isogeny class |
Conductor |
42016 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5632 |
Modular degree for the optimal curve |
Δ |
-5378048 = -1 · 212 · 13 · 101 |
Discriminant |
Eigenvalues |
2+ 1 0 -2 -4 13- 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,-145] |
[a1,a2,a3,a4,a6] |
Generators |
[7:4:1] [10:25:1] |
Generators of the group modulo torsion |
j |
-1000000/1313 |
j-invariant |
L |
9.9202217399705 |
L(r)(E,1)/r! |
Ω |
0.94720787386714 |
Real period |
R |
2.6182800031712 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42016e1 84032e1 |
Quadratic twists by: -4 8 |