Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25536bc |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
11031552 = 210 · 34 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-189,-1053] |
[a1,a2,a3,a4,a6] |
j |
733001728/10773 |
j-invariant |
L |
2.5763767175694 |
L(r)(E,1)/r! |
Ω |
1.2881883587848 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25536co1 3192a1 76608bc1 |
Quadratic twists by: -4 8 -3 |