Atkin-Lehner |
3- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
111573p |
Isogeny class |
Conductor |
111573 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-14094235438459407 = -1 · 316 · 76 · 112 · 23 |
Discriminant |
Eigenvalues |
1 3- 0 7- 11+ -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10152,-5722893] |
[a1,a2,a3,a4,a6] |
Generators |
[3667326:17503305:17576] |
Generators of the group modulo torsion |
j |
-1349232625/164333367 |
j-invariant |
L |
6.5324090917988 |
L(r)(E,1)/r! |
Ω |
0.1757288060402 |
Real period |
R |
9.2933099777039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039228 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37191i1 2277a1 |
Quadratic twists by: -3 -7 |