Atkin-Lehner |
2- 5- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
27880h |
Isogeny class |
Conductor |
27880 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
4576785156250000 = 24 · 512 · 17 · 413 |
Discriminant |
Eigenvalues |
2- -1 5- -3 -4 6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-92120,-10226975] |
[a1,a2,a3,a4,a6] |
Generators |
[-160:-625:1] |
Generators of the group modulo torsion |
j |
5403438735573473536/286049072265625 |
j-invariant |
L |
3.5743313554181 |
L(r)(E,1)/r! |
Ω |
0.27494057206713 |
Real period |
R |
0.54168241530412 |
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 |
55760f1 |
Quadratic twists by: -4 |