Atkin-Lehner |
2+ 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18450c |
Isogeny class |
Conductor |
18450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
-6756591796875000 = -1 · 23 · 33 · 517 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 5 0 -4 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-62442,-7175284] |
[a1,a2,a3,a4,a6] |
Generators |
[14779:1788973:1] |
Generators of the group modulo torsion |
j |
-63822564229347/16015625000 |
j-invariant |
L |
4.44274731519 |
L(r)(E,1)/r! |
Ω |
0.14904093033886 |
Real period |
R |
7.4522268901047 |
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 |
18450bf1 3690m1 |
Quadratic twists by: -3 5 |