Atkin-Lehner |
2- 3- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
83496t |
Isogeny class |
Conductor |
83496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-385737744490592256 = -1 · 211 · 32 · 77 · 714 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,49376,29598176] |
[a1,a2,a3,a4,a6] |
j |
55251546334/1600935903 |
j-invariant |
L |
1.8100889536835 |
L(r)(E,1)/r! |
Ω |
0.22626112370917 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11928i4 |
Quadratic twists by: -7 |