Atkin-Lehner |
2+ 3- 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
72150bn |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
1140480 |
Modular degree for the optimal curve |
Δ |
-160001138700000000 = -1 · 28 · 39 · 58 · 133 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -3 13- -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,21924,19206298] |
[a1,a2,a3,a4,a6] |
Generators |
[-223:1911:1] |
Generators of the group modulo torsion |
j |
2983675120295/409602915072 |
j-invariant |
L |
3.7837418974822 |
L(r)(E,1)/r! |
Ω |
0.24892964208601 |
Real period |
R |
0.84444697416977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007267 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
72150bt1 |
Quadratic twists by: 5 |