Atkin-Lehner |
2+ 3- 53- |
Signs for the Atkin-Lehner involutions |
Class |
16854h |
Isogeny class |
Conductor |
16854 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
363792 |
Modular degree for the optimal curve |
Δ |
-2.0273747508032E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 -3 6 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-387701,-235751296] |
[a1,a2,a3,a4,a6] |
Generators |
[2913333003138251794:-11868297935719918386:3524507373112487] |
Generators of the group modulo torsion |
j |
-1953125/6144 |
j-invariant |
L |
4.4243767476395 |
L(r)(E,1)/r! |
Ω |
0.088246536798869 |
Real period |
R |
25.068274110992 |
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 |
50562bf1 16854m1 |
Quadratic twists by: -3 53 |