Atkin-Lehner |
2- 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
61248co |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3535787261952 = 219 · 36 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3- -4 0 11- 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6465,176319] |
[a1,a2,a3,a4,a6] |
Generators |
[15:288:1] |
Generators of the group modulo torsion |
j |
114013572049/13487958 |
j-invariant |
L |
4.9236084317723 |
L(r)(E,1)/r! |
Ω |
0.76397923000818 |
Real period |
R |
0.53705740486132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000282 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61248j2 15312n2 |
Quadratic twists by: -4 8 |