Atkin-Lehner |
2+ 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
23450a |
Isogeny class |
Conductor |
23450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
103161709000000 = 26 · 56 · 73 · 673 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ -6 -5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-108475,-13787875] |
[a1,a2,a3,a4,a6] |
Generators |
[-194:141:1] |
Generators of the group modulo torsion |
j |
9034391742442417/6602349376 |
j-invariant |
L |
1.6646594878214 |
L(r)(E,1)/r! |
Ω |
0.26307868991165 |
Real period |
R |
3.1638052637035 |
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 |
938d2 |
Quadratic twists by: 5 |