Atkin-Lehner |
3- 7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
81627s |
Isogeny class |
Conductor |
81627 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
11531520 |
Modular degree for the optimal curve |
Δ |
5.3577648738582E+22 |
Discriminant |
Eigenvalues |
-2 3- 0 7+ 5 13+ -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9441748,-824087078] |
[a1,a2,a3,a4,a6] |
Generators |
[-2791:61600:1] |
Generators of the group modulo torsion |
j |
19285053992837632000/11100014261716653 |
j-invariant |
L |
4.0196474751144 |
L(r)(E,1)/r! |
Ω |
0.093720327019664 |
Real period |
R |
0.97476851883631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008823 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6279k1 |
Quadratic twists by: 13 |