Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
16560g |
Isogeny class |
Conductor |
16560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-18282240 = -1 · 28 · 33 · 5 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-87,374] |
[a1,a2,a3,a4,a6] |
Generators |
[5:8:1] |
Generators of the group modulo torsion |
j |
-10536048/2645 |
j-invariant |
L |
5.7406597321264 |
L(r)(E,1)/r! |
Ω |
2.0755048903898 |
Real period |
R |
1.3829550001803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8280d1 66240dn1 16560b1 82800c1 |
Quadratic twists by: -4 8 -3 5 |