Atkin-Lehner |
2- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
41552w |
Isogeny class |
Conductor |
41552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
4888551248 = 24 · 78 · 53 |
Discriminant |
Eigenvalues |
2- 0 0 7- 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-980,11319] |
[a1,a2,a3,a4,a6] |
Generators |
[644:3185:64] |
Generators of the group modulo torsion |
j |
55296000/2597 |
j-invariant |
L |
5.3149897165588 |
L(r)(E,1)/r! |
Ω |
1.3524681824964 |
Real period |
R |
3.9298445503893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10388c1 5936g1 |
Quadratic twists by: -4 -7 |