Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18450s |
Isogeny class |
Conductor |
18450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
157696 |
Modular degree for the optimal curve |
Δ |
-34271261097984000 = -1 · 222 · 313 · 53 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 -6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,53343,-7552899] |
[a1,a2,a3,a4,a6] |
Generators |
[16755:2160564:1] |
Generators of the group modulo torsion |
j |
184210296340699/376090656768 |
j-invariant |
L |
3.3092619791991 |
L(r)(E,1)/r! |
Ω |
0.19161698357348 |
Real period |
R |
8.6350956932013 |
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 |
6150bf1 18450by1 |
Quadratic twists by: -3 5 |