Atkin-Lehner |
5+ 7- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19565d |
Isogeny class |
Conductor |
19565 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
1341669111965 = 5 · 75 · 135 · 43 |
Discriminant |
Eigenvalues |
0 0 5+ 7- 4 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-10058,384233] |
[a1,a2,a3,a4,a6] |
Generators |
[269:-4141:1] |
Generators of the group modulo torsion |
j |
112527483322466304/1341669111965 |
j-invariant |
L |
3.7277383780498 |
L(r)(E,1)/r! |
Ω |
0.86012563363298 |
Real period |
R |
0.17335785528468 |
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 |
97825d1 |
Quadratic twists by: 5 |