Atkin-Lehner |
2+ 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20592d |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-232499165184 = -1 · 211 · 38 · 113 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 3 -3 11+ 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1509,-5398] |
[a1,a2,a3,a4,a6] |
j |
254527054/155727 |
j-invariant |
L |
2.2970073574994 |
L(r)(E,1)/r! |
Ω |
0.57425183937485 |
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 |
10296o1 82368ff1 6864e1 |
Quadratic twists by: -4 8 -3 |