Atkin-Lehner |
2+ 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
54418c |
Isogeny class |
Conductor |
54418 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9943457300084672 = 26 · 72 · 1310 · 23 |
Discriminant |
Eigenvalues |
2+ 2 -4 7- 4 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1322597,-585981235] |
[a1,a2,a3,a4,a6] |
Generators |
[1216818:30834379:729] |
Generators of the group modulo torsion |
j |
53008645999484449/2060047808 |
j-invariant |
L |
4.8118477966018 |
L(r)(E,1)/r! |
Ω |
0.14078086888444 |
Real period |
R |
8.5449248798808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000071 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4186a2 |
Quadratic twists by: 13 |