Atkin-Lehner |
2- 3+ 5- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
28290q |
Isogeny class |
Conductor |
28290 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
1952010000 = 24 · 32 · 54 · 232 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 0 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4100,99317] |
[a1,a2,a3,a4,a6] |
j |
7622227423310401/1952010000 |
j-invariant |
L |
5.7648884486291 |
L(r)(E,1)/r! |
Ω |
1.4412221121571 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
84870f1 |
Quadratic twists by: -3 |