Atkin-Lehner |
2- 3- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
23562be |
Isogeny class |
Conductor |
23562 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1397760 |
Modular degree for the optimal curve |
Δ |
211839955897844736 = 210 · 313 · 74 · 11 · 173 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ -4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22156304,40147077363] |
[a1,a2,a3,a4,a6] |
j |
1650015832519221743605177/290589788611584 |
j-invariant |
L |
4.9748850133585 |
L(r)(E,1)/r! |
Ω |
0.24874425066792 |
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 |
7854h1 |
Quadratic twists by: -3 |