Atkin-Lehner |
2+ 3- 101- |
Signs for the Atkin-Lehner involutions |
Class |
29088i |
Isogeny class |
Conductor |
29088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
2714259456 = 212 · 38 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 3 0 -4 -3 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-696,-6608] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:4:1] |
Generators of the group modulo torsion |
j |
12487168/909 |
j-invariant |
L |
6.5627480247252 |
L(r)(E,1)/r! |
Ω |
0.93376612095087 |
Real period |
R |
1.7570641827427 |
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 |
29088h1 58176bz1 9696i1 |
Quadratic twists by: -4 8 -3 |