Atkin-Lehner |
2+ 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
18450f |
Isogeny class |
Conductor |
18450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-1291204800000000 = -1 · 212 · 39 · 58 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 3 -2 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,24258,928916] |
[a1,a2,a3,a4,a6] |
Generators |
[140:2586:1] |
Generators of the group modulo torsion |
j |
205318125/167936 |
j-invariant |
L |
4.3595491813092 |
L(r)(E,1)/r! |
Ω |
0.31222754884279 |
Real period |
R |
3.4906826747567 |
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 |
18450bg1 18450be1 |
Quadratic twists by: -3 5 |