Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224fq |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-6858432 = -1 · 26 · 37 · 72 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-84,-322] |
[a1,a2,a3,a4,a6] |
j |
-28672/3 |
j-invariant |
L |
3.1354346365502 |
L(r)(E,1)/r! |
Ω |
0.78385865913748 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28224bx1 7056bw1 9408cc1 28224es1 |
Quadratic twists by: -4 8 -3 -7 |