Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304ik |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
20810062686486528 = 215 · 33 · 77 · 134 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-406177,-99530593] |
[a1,a2,a3,a4,a6] |
Generators |
[842:12495:1] |
Generators of the group modulo torsion |
j |
1922350562504/5398029 |
j-invariant |
L |
10.032539693995 |
L(r)(E,1)/r! |
Ω |
0.18914459480516 |
Real period |
R |
4.4201367333423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304gd4 61152e4 17472cg3 |
Quadratic twists by: -4 8 -7 |