Atkin-Lehner |
2- 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
69828v |
Isogeny class |
Conductor |
69828 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
1672704 |
Modular degree for the optimal curve |
Δ |
-5.6156107131553E+19 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 11+ -2 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-849750,-470275083] |
[a1,a2,a3,a4,a6] |
j |
-28649084226304/23708823039 |
j-invariant |
L |
3.3420318712119 |
L(r)(E,1)/r! |
Ω |
0.075955269942446 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3036h1 |
Quadratic twists by: -23 |