Atkin-Lehner |
2+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
53792b |
Isogeny class |
Conductor |
53792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
4410944 = 26 · 413 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 0 -4 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:10:1] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
4.3379219539063 |
L(r)(E,1)/r! |
Ω |
2.0724127319464 |
Real period |
R |
2.0931747267415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53792b1 107584f2 53792a1 |
Quadratic twists by: -4 8 41 |