Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
22560d |
Isogeny class |
Conductor |
22560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
286286400 = 26 · 34 · 52 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-706,6944] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:120:1] |
Generators of the group modulo torsion |
j |
608937674176/4473225 |
j-invariant |
L |
5.5788132181392 |
L(r)(E,1)/r! |
Ω |
1.7423094659684 |
Real period |
R |
1.6009822959431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22560i1 45120n2 67680x1 112800bj1 |
Quadratic twists by: -4 8 -3 5 |