Atkin-Lehner |
2+ 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
81312a |
Isogeny class |
Conductor |
81312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2113118322708653568 = 29 · 36 · 74 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11+ 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-601168,165414856] |
[a1,a2,a3,a4,a6] |
Generators |
[-1213686:-97843249:5832] |
Generators of the group modulo torsion |
j |
19902511000/1750329 |
j-invariant |
L |
5.4203714802187 |
L(r)(E,1)/r! |
Ω |
0.25436160500195 |
Real period |
R |
10.654853902906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001124 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81312bs2 81312bc2 |
Quadratic twists by: -4 -11 |