Atkin-Lehner |
3+ 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
81627d |
Isogeny class |
Conductor |
81627 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
755304685556163561 = 36 · 74 · 138 · 232 |
Discriminant |
Eigenvalues |
-1 3+ 2 7+ 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1393662,631300626] |
[a1,a2,a3,a4,a6] |
Generators |
[30360:580954:27] |
Generators of the group modulo torsion |
j |
62020604311474537/156481162929 |
j-invariant |
L |
3.6669200201959 |
L(r)(E,1)/r! |
Ω |
0.28506056163385 |
Real period |
R |
6.431826275207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986697 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6279e2 |
Quadratic twists by: 13 |