Atkin-Lehner |
2- 59- |
Signs for the Atkin-Lehner involutions |
Class |
55696x |
Isogeny class |
Conductor |
55696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3173760 |
Modular degree for the optimal curve |
Δ |
-5.3443383692197E+21 |
Discriminant |
Eigenvalues |
2- -2 2 3 1 -3 -1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3089968,-2827464812] |
[a1,a2,a3,a4,a6] |
Generators |
[40008026:522743808:50653] |
Generators of the group modulo torsion |
j |
18884848247/30932992 |
j-invariant |
L |
5.86561832703 |
L(r)(E,1)/r! |
Ω |
0.071539310883781 |
Real period |
R |
10.248942599679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6962k1 944g1 |
Quadratic twists by: -4 -59 |