Atkin-Lehner |
3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
87285u |
Isogeny class |
Conductor |
87285 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-163659375 = -1 · 32 · 55 · 11 · 232 |
Discriminant |
Eigenvalues |
1 3- 5- 1 11- 1 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-23,-619] |
[a1,a2,a3,a4,a6] |
Generators |
[45:277:1] |
Generators of the group modulo torsion |
j |
-2387929/309375 |
j-invariant |
L |
11.655589617675 |
L(r)(E,1)/r! |
Ω |
0.80612017882816 |
Real period |
R |
1.4458873409756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87285o1 |
Quadratic twists by: -23 |