Atkin-Lehner |
2- 3+ 5+ 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
26130p |
Isogeny class |
Conductor |
26130 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-130440960 = -1 · 28 · 32 · 5 · 132 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 6 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-201,1143] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-16:1] |
Generators of the group modulo torsion |
j |
-898352786449/130440960 |
j-invariant |
L |
7.4586260701771 |
L(r)(E,1)/r! |
Ω |
1.7889822827329 |
Real period |
R |
0.5211500794451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78390z1 |
Quadratic twists by: -3 |