Atkin-Lehner |
2+ 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
4450f |
Isogeny class |
Conductor |
4450 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
445000 = 23 · 54 · 89 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 2 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1323876,-586408902] |
[a1,a2,a3,a4,a6] |
Generators |
[-23492670704771629650:11728685814387141386:35360221026390625] |
Generators of the group modulo torsion |
j |
410568050484022158025/712 |
j-invariant |
L |
3.4007953219725 |
L(r)(E,1)/r! |
Ω |
0.14074655276707 |
Real period |
R |
24.162547892741 |
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 |
35600bj1 40050bj1 4450k2 |
Quadratic twists by: -4 -3 5 |