Atkin-Lehner |
5+ 7+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
106925i |
Isogeny class |
Conductor |
106925 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2748306640625 = 59 · 72 · 13 · 472 |
Discriminant |
Eigenvalues |
-1 2 5+ 7+ -2 13- -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-216838,38773906] |
[a1,a2,a3,a4,a6] |
Generators |
[-260:8942:1] |
Generators of the group modulo torsion |
j |
72162237392379289/175891625 |
j-invariant |
L |
4.5245600439773 |
L(r)(E,1)/r! |
Ω |
0.69832767917166 |
Real period |
R |
1.619784012016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009936 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21385f2 |
Quadratic twists by: 5 |