Atkin-Lehner |
2+ 3- 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
26226i |
Isogeny class |
Conductor |
26226 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-4515773219784 = -1 · 23 · 318 · 31 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -1 0 1 6 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1125,103549] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:344:1] |
Generators of the group modulo torsion |
j |
-216108018001/6194476296 |
j-invariant |
L |
4.2787262331458 |
L(r)(E,1)/r! |
Ω |
0.64739630620386 |
Real period |
R |
3.3045649103522 |
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 |
8742h1 |
Quadratic twists by: -3 |