Atkin-Lehner |
2+ 3- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
4674b |
Isogeny class |
Conductor |
4674 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
8800 |
Modular degree for the optimal curve |
Δ |
-1871217727488 = -1 · 211 · 32 · 195 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -1 -6 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-192,65806] |
[a1,a2,a3,a4,a6] |
Generators |
[62:510:1] |
Generators of the group modulo torsion |
j |
-776911912057/1871217727488 |
j-invariant |
L |
3.0586521295098 |
L(r)(E,1)/r! |
Ω |
0.66999273163274 |
Real period |
R |
0.45652019568273 |
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 |
37392g1 14022i1 116850bt1 88806o1 |
Quadratic twists by: -4 -3 5 -19 |