Atkin-Lehner |
2- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
10580o |
Isogeny class |
Conductor |
10580 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-121670000 = -1 · 24 · 54 · 233 |
Discriminant |
Eigenvalues |
2- -3 5- -2 -2 -1 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,23,529] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:5:1] [0:23:1] |
Generators of the group modulo torsion |
j |
6912/625 |
j-invariant |
L |
4.0788617237565 |
L(r)(E,1)/r! |
Ω |
1.4252553474493 |
Real period |
R |
0.11924359528094 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42320bd1 95220o1 52900s1 10580f1 |
Quadratic twists by: -4 -3 5 -23 |