Atkin-Lehner |
3+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
3471b |
Isogeny class |
Conductor |
3471 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1008 |
Modular degree for the optimal curve |
Δ |
843453 = 36 · 13 · 89 |
Discriminant |
Eigenvalues |
2 3+ 0 1 0 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-458,3929] |
[a1,a2,a3,a4,a6] |
Generators |
[106:23:8] |
Generators of the group modulo torsion |
j |
10648000000000/843453 |
j-invariant |
L |
5.7117282943309 |
L(r)(E,1)/r! |
Ω |
2.6851756174469 |
Real period |
R |
1.0635669892909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55536bb1 10413i1 86775u1 45123f1 |
Quadratic twists by: -4 -3 5 13 |