Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
22848cy |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-508040382528 = -1 · 26 · 34 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1036,-31458] |
[a1,a2,a3,a4,a6] |
Generators |
[217:3234:1] |
Generators of the group modulo torsion |
j |
1919569026752/7938130977 |
j-invariant |
L |
6.5059685980156 |
L(r)(E,1)/r! |
Ω |
0.47042549161863 |
Real period |
R |
1.7287457615312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22848bz1 11424q4 68544el1 |
Quadratic twists by: -4 8 -3 |