Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470eq |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
58098118987621440 = 26 · 310 · 5 · 72 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-138443,-16046949] |
[a1,a2,a3,a4,a6] |
j |
83396175409/16511040 |
j-invariant |
L |
3.0111117074514 |
L(r)(E,1)/r! |
Ω |
0.25092600975426 |
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 |
35490r1 8190r1 |
Quadratic twists by: -3 13 |