Atkin-Lehner |
2- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
29792h |
Isogeny class |
Conductor |
29792 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-9155915776 = -1 · 212 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 0 1 7- 3 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-392,-5488] |
[a1,a2,a3,a4,a6] |
Generators |
[3680:11516:125] |
Generators of the group modulo torsion |
j |
-13824/19 |
j-invariant |
L |
6.0604599862107 |
L(r)(E,1)/r! |
Ω |
0.51074807560474 |
Real period |
R |
5.9329249346999 |
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 |
29792c1 59584z1 608d1 |
Quadratic twists by: -4 8 -7 |