Atkin-Lehner |
2+ 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
81466d |
Isogeny class |
Conductor |
81466 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
822170010337984 = 26 · 73 · 11 · 237 |
Discriminant |
Eigenvalues |
2+ 1 -3 7+ 11+ -1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12879310,17789378752] |
[a1,a2,a3,a4,a6] |
Generators |
[-1750:187876:1] [2045:1093:1] |
Generators of the group modulo torsion |
j |
1596005697643892137/5553856 |
j-invariant |
L |
7.1759453312685 |
L(r)(E,1)/r! |
Ω |
0.33464760268808 |
Real period |
R |
2.6804111525222 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999845 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3542i2 |
Quadratic twists by: -23 |