Atkin-Lehner |
2- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
46400cf |
Isogeny class |
Conductor |
46400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
464000000 = 210 · 56 · 29 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 -6 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-933,-11237] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:7:1] |
Generators of the group modulo torsion |
j |
5619712/29 |
j-invariant |
L |
3.995418293158 |
L(r)(E,1)/r! |
Ω |
0.86402293375836 |
Real period |
R |
2.3121019923611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999527 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46400u1 11600u1 1856n1 |
Quadratic twists by: -4 8 5 |