Atkin-Lehner |
3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
1221a |
Isogeny class |
Conductor |
1221 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1490841 = 32 · 112 · 372 |
Discriminant |
Eigenvalues |
1 3- 2 -4 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-40,-79] |
[a1,a2,a3,a4,a6] |
Generators |
[110:301:8] |
Generators of the group modulo torsion |
j |
6826561273/1490841 |
j-invariant |
L |
3.565623445966 |
L(r)(E,1)/r! |
Ω |
1.9337022528036 |
Real period |
R |
3.6878722572685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19536y2 78144r2 3663e2 30525d2 |
Quadratic twists by: -4 8 -3 5 |