Atkin-Lehner |
2- 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
72896o |
Isogeny class |
Conductor |
72896 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-5730208768 = -1 · 210 · 174 · 67 |
Discriminant |
Eigenvalues |
2- 0 -2 -4 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-296,-4136] |
[a1,a2,a3,a4,a6] |
Generators |
[294:5032:1] |
Generators of the group modulo torsion |
j |
-2800908288/5595907 |
j-invariant |
L |
3.140902605913 |
L(r)(E,1)/r! |
Ω |
0.54077605377917 |
Real period |
R |
2.904069608352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001604 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72896g1 18224b1 |
Quadratic twists by: -4 8 |