Atkin-Lehner |
2- 3+ 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
112560bg |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
844650240 = 28 · 3 · 5 · 72 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-236,60] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:231:8] |
Generators of the group modulo torsion |
j |
5702413264/3299415 |
j-invariant |
L |
5.9022942218093 |
L(r)(E,1)/r! |
Ω |
1.3351434688224 |
Real period |
R |
4.4207190654979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000057623 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28140k2 |
Quadratic twists by: -4 |