Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22080bc |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-805942080 = -1 · 26 · 32 · 5 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-116,1410] |
[a1,a2,a3,a4,a6] |
Generators |
[1:36:1] |
Generators of the group modulo torsion |
j |
-2720547136/12592845 |
j-invariant |
L |
6.3826260604728 |
L(r)(E,1)/r! |
Ω |
1.3817259060897 |
Real period |
R |
2.3096570862363 |
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 |
22080a1 11040j4 66240cg1 110400a1 |
Quadratic twists by: -4 8 -3 5 |