Atkin-Lehner |
3- 5+ 23+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
91425l |
Isogeny class |
Conductor |
91425 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-295702734375 = -1 · 33 · 58 · 232 · 53 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-213,-26208] |
[a1,a2,a3,a4,a6] |
Generators |
[486:3207:8] |
Generators of the group modulo torsion |
j |
-68417929/18924975 |
j-invariant |
L |
4.8928490469462 |
L(r)(E,1)/r! |
Ω |
0.43469199464607 |
Real period |
R |
1.8759831114416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006411 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18285b1 |
Quadratic twists by: 5 |