Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29766q |
Isogeny class |
Conductor |
29766 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
420000 |
Modular degree for the optimal curve |
Δ |
-592237813328510976 = -1 · 225 · 35 · 116 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 1 2 11- 1 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-21178,37043180] |
[a1,a2,a3,a4,a6] |
Generators |
[76:5951:1] |
Generators of the group modulo torsion |
j |
-592915705201/334302806016 |
j-invariant |
L |
6.0054634888939 |
L(r)(E,1)/r! |
Ω |
0.23491292871796 |
Real period |
R |
2.5564635891557 |
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 |
89298cq1 246b1 |
Quadratic twists by: -3 -11 |