Atkin-Lehner |
2- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
4606i |
Isogeny class |
Conductor |
4606 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-158541910016 = -1 · 212 · 77 · 47 |
Discriminant |
Eigenvalues |
2- 1 1 7- -5 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1175,11353] |
[a1,a2,a3,a4,a6] |
Generators |
[18:187:1] |
Generators of the group modulo torsion |
j |
1524845951/1347584 |
j-invariant |
L |
6.2737314121994 |
L(r)(E,1)/r! |
Ω |
0.66675638371803 |
Real period |
R |
0.39205545217375 |
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 |
36848t1 41454y1 115150p1 658d1 |
Quadratic twists by: -4 -3 5 -7 |