Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840a |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
62347345920 = 216 · 38 · 5 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12481,-532415] |
[a1,a2,a3,a4,a6] |
Generators |
[131:252:1] |
Generators of the group modulo torsion |
j |
3281154851524/951345 |
j-invariant |
L |
4.1381224647574 |
L(r)(E,1)/r! |
Ω |
0.45169144570919 |
Real period |
R |
4.5806960747953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27840df4 3480k3 83520cq4 |
Quadratic twists by: -4 8 -3 |