Atkin-Lehner |
2+ 3- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
18054g |
Isogeny class |
Conductor |
18054 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-814624210944 = -1 · 216 · 36 · 172 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 0 4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1677,34037] |
[a1,a2,a3,a4,a6] |
Generators |
[422:8493:1] |
Generators of the group modulo torsion |
j |
715236537807/1117454336 |
j-invariant |
L |
4.6510984062142 |
L(r)(E,1)/r! |
Ω |
0.60826678138666 |
Real period |
R |
1.9116194359699 |
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 |
2006k1 |
Quadratic twists by: -3 |