Atkin-Lehner |
2- 7+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
123662t |
Isogeny class |
Conductor |
123662 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
11143430144 = 214 · 7 · 113 · 73 |
Discriminant |
Eigenvalues |
2- 0 1 7+ 11+ 2 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-562,817] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:75:1] [-5:61:1] |
Generators of the group modulo torsion |
j |
14724139851/8372224 |
j-invariant |
L |
17.832462791041 |
L(r)(E,1)/r! |
Ω |
1.0974108960863 |
Real period |
R |
0.58034203385825 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999952217 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123662j1 |
Quadratic twists by: -11 |