Atkin-Lehner |
2+ 3- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
111552bc |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
22039105536 = 212 · 33 · 74 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2857,-59305] |
[a1,a2,a3,a4,a6] |
j |
629863565248/5380641 |
j-invariant |
L |
3.9199847294997 |
L(r)(E,1)/r! |
Ω |
0.65333081149234 |
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 |
111552z1 55776m1 |
Quadratic twists by: -4 8 |