Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224gb |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-5693399373892608 = -1 · 210 · 39 · 710 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12936,-3674216] |
[a1,a2,a3,a4,a6] |
j |
-2725888/64827 |
j-invariant |
L |
0.73956404764403 |
L(r)(E,1)/r! |
Ω |
0.1848910119111 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28224ce1 7056w1 9408cv1 4032bd1 |
Quadratic twists by: -4 8 -3 -7 |