Atkin-Lehner |
2- 3- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
26832y |
Isogeny class |
Conductor |
26832 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-1112776704 = -1 · 213 · 35 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 -4 13- 8 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,216,-972] |
[a1,a2,a3,a4,a6] |
Generators |
[6:24:1] |
Generators of the group modulo torsion |
j |
270840023/271674 |
j-invariant |
L |
7.5364553894237 |
L(r)(E,1)/r! |
Ω |
0.84176826955873 |
Real period |
R |
0.44765618175264 |
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 |
3354b1 107328bm1 80496bq1 |
Quadratic twists by: -4 8 -3 |