Atkin-Lehner |
2- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
29792l |
Isogeny class |
Conductor |
29792 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18144 |
Modular degree for the optimal curve |
Δ |
-1144489472 = -1 · 29 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 3 0 7- -2 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,245,686] |
[a1,a2,a3,a4,a6] |
Generators |
[579:3394:27] |
Generators of the group modulo torsion |
j |
27000/19 |
j-invariant |
L |
9.7300108234826 |
L(r)(E,1)/r! |
Ω |
0.97811134666844 |
Real period |
R |
4.9738768784475 |
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 |
29792p1 59584dd1 608f1 |
Quadratic twists by: -4 8 -7 |