Atkin-Lehner |
7- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
24157d |
Isogeny class |
Conductor |
24157 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-338203580267 = -1 · 79 · 172 · 29 |
Discriminant |
Eigenvalues |
0 1 2 7- 4 4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-18587,-981977] |
[a1,a2,a3,a4,a6] |
Generators |
[1409:52650:1] |
Generators of the group modulo torsion |
j |
-6036521254912/2874683 |
j-invariant |
L |
6.3781419146552 |
L(r)(E,1)/r! |
Ω |
0.20443388497034 |
Real period |
R |
3.8998805870543 |
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 |
3451d1 |
Quadratic twists by: -7 |