Atkin-Lehner |
2- 7+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
52234u |
Isogeny class |
Conductor |
52234 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
39072 |
Modular degree for the optimal curve |
Δ |
2620893184 = 211 · 74 · 13 · 41 |
Discriminant |
Eigenvalues |
2- -1 -2 7+ 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2549,48411] |
[a1,a2,a3,a4,a6] |
Generators |
[27:-28:1] [3:200:1] |
Generators of the group modulo torsion |
j |
762872056177/1091584 |
j-invariant |
L |
10.597348361514 |
L(r)(E,1)/r! |
Ω |
1.439078503457 |
Real period |
R |
0.22315097318138 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52234bf1 |
Quadratic twists by: -7 |