Atkin-Lehner |
2+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
4450b |
Isogeny class |
Conductor |
4450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-5696000000 = -1 · 212 · 56 · 89 |
Discriminant |
Eigenvalues |
2+ -1 5+ 4 -6 -2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,150,-3500] |
[a1,a2,a3,a4,a6] |
Generators |
[36:206:1] |
Generators of the group modulo torsion |
j |
23639903/364544 |
j-invariant |
L |
2.3363897013371 |
L(r)(E,1)/r! |
Ω |
0.66009837666522 |
Real period |
R |
1.7697284101351 |
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 |
35600r1 40050bi1 178a1 |
Quadratic twists by: -4 -3 5 |