Atkin-Lehner |
2- 3- 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
62244bg |
Isogeny class |
Conductor |
62244 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
2.6763406290119E+25 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 13- 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-115021695,-404339001194] |
[a1,a2,a3,a4,a6] |
Generators |
[1301970:-524072003:8] |
Generators of the group modulo torsion |
j |
901769429047351037794000/143408169850176449127 |
j-invariant |
L |
6.3934583474696 |
L(r)(E,1)/r! |
Ω |
0.046595395705868 |
Real period |
R |
6.8606117088163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000528 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20748t2 |
Quadratic twists by: -3 |