Atkin-Lehner |
2- 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
13728h |
Isogeny class |
Conductor |
13728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
73389888 = 26 · 36 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 4 2 11- 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2106,37908] |
[a1,a2,a3,a4,a6] |
j |
16148234224576/1146717 |
j-invariant |
L |
3.6924041283976 |
L(r)(E,1)/r! |
Ω |
1.8462020641988 |
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 |
13728j1 27456cc2 41184m1 |
Quadratic twists by: -4 8 -3 |