Atkin-Lehner |
2- 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21808g |
Isogeny class |
Conductor |
21808 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
280896 |
Modular degree for the optimal curve |
Δ |
714604544 = 219 · 29 · 47 |
Discriminant |
Eigenvalues |
2- 0 -3 4 0 5 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4805579,4054774394] |
[a1,a2,a3,a4,a6] |
Generators |
[158195:662:125] |
Generators of the group modulo torsion |
j |
2996407859142189227553/174464 |
j-invariant |
L |
4.8251638041258 |
L(r)(E,1)/r! |
Ω |
0.60666428964055 |
Real period |
R |
3.9767989368426 |
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 |
2726e1 87232k1 |
Quadratic twists by: -4 8 |