Atkin-Lehner |
2+ 3- 101- |
Signs for the Atkin-Lehner involutions |
Class |
29088h |
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 |
[-8:108:1] |
Generators of the group modulo torsion |
j |
12487168/909 |
j-invariant |
L |
7.4055649884517 |
L(r)(E,1)/r! |
Ω |
1.4075195598267 |
Real period |
R |
1.3153573846895 |
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 |
29088i1 58176ca1 9696e1 |
Quadratic twists by: -4 8 -3 |