Atkin-Lehner |
2+ 3+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
29766i |
Isogeny class |
Conductor |
29766 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-115052257584 = -1 · 24 · 32 · 117 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -1 1 11- 2 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1087,9189] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-190:1] |
Generators of the group modulo torsion |
j |
80062991/64944 |
j-invariant |
L |
3.2438569513081 |
L(r)(E,1)/r! |
Ω |
0.67853118830852 |
Real period |
R |
0.2987940170623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89298bz1 2706m1 |
Quadratic twists by: -3 -11 |