Atkin-Lehner |
2- 3- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
26832w |
Isogeny class |
Conductor |
26832 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
584964432 = 24 · 32 · 133 · 432 |
Discriminant |
Eigenvalues |
2- 3- -2 4 0 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-689,-7098] |
[a1,a2,a3,a4,a6] |
j |
2264078958592/36560277 |
j-invariant |
L |
2.7979415409347 |
L(r)(E,1)/r! |
Ω |
0.93264718031136 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6708e1 107328bo1 80496bo1 |
Quadratic twists by: -4 8 -3 |