Atkin-Lehner |
2+ 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
84032c |
Isogeny class |
Conductor |
84032 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5632 |
Modular degree for the optimal curve |
Δ |
-84032 = -1 · 26 · 13 · 101 |
Discriminant |
Eigenvalues |
2+ 1 0 2 -4 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8,14] |
[a1,a2,a3,a4,a6] |
j |
-1000000/1313 |
j-invariant |
L |
3.0806859695962 |
L(r)(E,1)/r! |
Ω |
3.0806860020418 |
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 |
84032e1 42016e1 |
Quadratic twists by: -4 8 |