Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
8820w |
Isogeny class |
Conductor |
8820 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-320060160 = -1 · 28 · 36 · 5 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 1 -5 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,168,196] |
[a1,a2,a3,a4,a6] |
Generators |
[0:14:1] |
Generators of the group modulo torsion |
j |
8192/5 |
j-invariant |
L |
4.5124551941628 |
L(r)(E,1)/r! |
Ω |
1.0573492765687 |
Real period |
R |
0.71128422968658 |
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 |
35280fh1 980c1 44100bl1 8820k1 |
Quadratic twists by: -4 -3 5 -7 |