Atkin-Lehner |
11- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45617a |
Isogeny class |
Conductor |
45617 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
251790193369 = 116 · 132 · 292 |
Discriminant |
Eigenvalues |
-1 0 -2 0 11- 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1596,4766] |
[a1,a2,a3,a4,a6] |
j |
253636137/142129 |
j-invariant |
L |
0.85129066141871 |
L(r)(E,1)/r! |
Ω |
0.85129066080323 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
377a2 |
Quadratic twists by: -11 |