Atkin-Lehner |
2- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
11560i |
Isogeny class |
Conductor |
11560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
-35715878097920 = -1 · 210 · 5 · 178 |
Discriminant |
Eigenvalues |
2- 3 5+ -3 0 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54043,-4844218] |
[a1,a2,a3,a4,a6] |
Generators |
[39319589193393:1090727185432436:46772737227] |
Generators of the group modulo torsion |
j |
-2443716/5 |
j-invariant |
L |
6.9572594349104 |
L(r)(E,1)/r! |
Ω |
0.15654220611491 |
Real period |
R |
22.221673015786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23120h1 92480cv1 104040bn1 57800m1 |
Quadratic twists by: -4 8 -3 5 |