Atkin-Lehner |
2+ 3+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
128832a |
Isogeny class |
Conductor |
128832 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
104118409398288384 = 215 · 35 · 118 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-651969,202244769] |
[a1,a2,a3,a4,a6] |
Generators |
[488:245:1] |
Generators of the group modulo torsion |
j |
935309363416246664/3177441693063 |
j-invariant |
L |
1.8509263253924 |
L(r)(E,1)/r! |
Ω |
0.33672715453207 |
Real period |
R |
5.4968131607656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000382367 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128832t4 64416c4 |
Quadratic twists by: -4 8 |