Atkin-Lehner |
2+ 3- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
18054c |
Isogeny class |
Conductor |
18054 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
91705529110212 = 22 · 318 · 17 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1694322,849295264] |
[a1,a2,a3,a4,a6] |
Generators |
[221:21926:1] |
Generators of the group modulo torsion |
j |
737877347611020366625/125796336228 |
j-invariant |
L |
3.279691106044 |
L(r)(E,1)/r! |
Ω |
0.47370294649656 |
Real period |
R |
3.4617592420526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6018h1 |
Quadratic twists by: -3 |