Atkin-Lehner |
2+ 3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110466n |
Isogeny class |
Conductor |
110466 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
20428800 |
Modular degree for the optimal curve |
Δ |
3.6356148529932E+24 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 -4 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-40026123,-32918628155] |
[a1,a2,a3,a4,a6] |
Generators |
[-4842:220021:1] |
Generators of the group modulo torsion |
j |
30147017857867/15454961664 |
j-invariant |
L |
2.7258068610242 |
L(r)(E,1)/r! |
Ω |
0.063419432141199 |
Real period |
R |
3.5817187952378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999854093 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36822o1 110466bm1 |
Quadratic twists by: -3 -19 |