Atkin-Lehner |
2- 3+ 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
54672w |
Isogeny class |
Conductor |
54672 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4209488572416 = -1 · 212 · 3 · 17 · 674 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2856,78384] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:130:1] [2:290:1] |
Generators of the group modulo torsion |
j |
628762020263/1027707171 |
j-invariant |
L |
7.2765051851557 |
L(r)(E,1)/r! |
Ω |
0.53194231962104 |
Real period |
R |
13.679124440297 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3417g4 |
Quadratic twists by: -4 |