Atkin-Lehner |
2+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
72896b |
Isogeny class |
Conductor |
72896 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-18661376 = -1 · 214 · 17 · 67 |
Discriminant |
Eigenvalues |
2+ 1 -2 0 -5 -4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11,211] |
[a1,a2,a3,a4,a6] |
Generators |
[6:23:1] |
Generators of the group modulo torsion |
j |
8192/1139 |
j-invariant |
L |
4.1551383640952 |
L(r)(E,1)/r! |
Ω |
1.6745602542951 |
Real period |
R |
2.4813310566413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973424 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72896n1 4556a1 |
Quadratic twists by: -4 8 |