Atkin-Lehner |
2- 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
68952u |
Isogeny class |
Conductor |
68952 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-1491569664 = -1 · 210 · 3 · 134 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -1 2 -3 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56,1884] |
[a1,a2,a3,a4,a6] |
Generators |
[22:104:1] |
Generators of the group modulo torsion |
j |
-676/51 |
j-invariant |
L |
4.9596529631406 |
L(r)(E,1)/r! |
Ω |
1.2454112012232 |
Real period |
R |
0.66372361707737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995835 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68952e1 |
Quadratic twists by: 13 |