Atkin-Lehner |
3+ 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
67275a |
Isogeny class |
Conductor |
67275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
37716046875 = 33 · 56 · 132 · 232 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-867,-2834] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:74:1] |
Generators of the group modulo torsion |
j |
170953875/89401 |
j-invariant |
L |
4.9492469883415 |
L(r)(E,1)/r! |
Ω |
0.93216778088224 |
Real period |
R |
1.327348759014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995032 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67275b2 2691b2 |
Quadratic twists by: -3 5 |