Atkin-Lehner |
2- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27968bl |
Isogeny class |
Conductor |
27968 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
1121383237805572096 = 215 · 19 · 239 |
Discriminant |
Eigenvalues |
2- -3 3 -2 -1 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-268396,16387312] |
[a1,a2,a3,a4,a6] |
j |
65253212057800584/34221900567797 |
j-invariant |
L |
0.48322058528735 |
L(r)(E,1)/r! |
Ω |
0.2416102926443 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27968cd1 13984i1 |
Quadratic twists by: -4 8 |