Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
13860k |
Isogeny class |
Conductor |
13860 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-49397040 = -1 · 24 · 36 · 5 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,72,-243] |
[a1,a2,a3,a4,a6] |
j |
3538944/4235 |
j-invariant |
L |
2.1543806949304 |
L(r)(E,1)/r! |
Ω |
1.0771903474652 |
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 |
55440dj1 1540a1 69300cb1 97020ct1 |
Quadratic twists by: -4 -3 5 -7 |