Atkin-Lehner |
2- 3- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
29016o |
Isogeny class |
Conductor |
29016 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18944 |
Modular degree for the optimal curve |
Δ |
-75209472 = -1 · 28 · 36 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 -3 13- -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-828,-9180] |
[a1,a2,a3,a4,a6] |
Generators |
[240:3690:1] |
Generators of the group modulo torsion |
j |
-336393216/403 |
j-invariant |
L |
6.6849141018654 |
L(r)(E,1)/r! |
Ω |
0.44497005080966 |
Real period |
R |
3.7558224928294 |
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 |
58032n1 3224b1 |
Quadratic twists by: -4 -3 |