Atkin-Lehner |
2- 3- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
102336cj |
Isogeny class |
Conductor |
102336 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
8289216 = 26 · 35 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3- -1 2 5 13- 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-676,-6994] |
[a1,a2,a3,a4,a6] |
j |
534596504896/129519 |
j-invariant |
L |
4.6809678369671 |
L(r)(E,1)/r! |
Ω |
0.93619360601695 |
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 |
102336bt1 51168j1 |
Quadratic twists by: -4 8 |