Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
8820x |
Isogeny class |
Conductor |
8820 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-17146080000 = -1 · 28 · 37 · 54 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 -1 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,168,6244] |
[a1,a2,a3,a4,a6] |
Generators |
[8:90:1] |
Generators of the group modulo torsion |
j |
57344/1875 |
j-invariant |
L |
4.7070603283541 |
L(r)(E,1)/r! |
Ω |
0.92947087160604 |
Real period |
R |
0.21100985482475 |
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 |
35280fm1 2940h1 44100bo1 8820i1 |
Quadratic twists by: -4 -3 5 -7 |