Atkin-Lehner |
2+ 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
28320b |
Isogeny class |
Conductor |
28320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
65280 |
Modular degree for the optimal curve |
Δ |
156042641756160 = 212 · 317 · 5 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 1 -1 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15501,441765] |
[a1,a2,a3,a4,a6] |
Generators |
[-109:908:1] |
Generators of the group modulo torsion |
j |
100570574232064/38096348085 |
j-invariant |
L |
4.4174190575862 |
L(r)(E,1)/r! |
Ω |
0.52606080016989 |
Real period |
R |
4.1985822324716 |
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 |
28320l1 56640dg1 84960bo1 |
Quadratic twists by: -4 8 -3 |