Atkin-Lehner |
2+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
26026d |
Isogeny class |
Conductor |
26026 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
90720 |
Modular degree for the optimal curve |
Δ |
-3129862927679488 = -1 · 235 · 72 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 11+ 13+ -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,35608,737088] |
[a1,a2,a3,a4,a6] |
j |
29544244636359375/18519898980352 |
j-invariant |
L |
0.55685268672587 |
L(r)(E,1)/r! |
Ω |
0.278426343363 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26026k1 |
Quadratic twists by: 13 |