Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22080bh |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
1766400 = 210 · 3 · 52 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-85,-325] |
[a1,a2,a3,a4,a6] |
Generators |
[453:1540:27] |
Generators of the group modulo torsion |
j |
67108864/1725 |
j-invariant |
L |
7.2590508955019 |
L(r)(E,1)/r! |
Ω |
1.5732612620191 |
Real period |
R |
4.6140148942497 |
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 |
22080cf1 1380a1 66240br1 110400x1 |
Quadratic twists by: -4 8 -3 5 |