Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
1650n |
Isogeny class |
Conductor |
1650 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
Δ |
-21260088115200 = -1 · 233 · 32 · 52 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -5 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11463,-526659] |
[a1,a2,a3,a4,a6] |
Generators |
[139:698:1] |
Generators of the group modulo torsion |
j |
-6663170841705625/850403524608 |
j-invariant |
L |
3.4024369365669 |
L(r)(E,1)/r! |
Ω |
0.22906525739362 |
Real period |
R |
0.22505409760976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13200cd2 52800cj2 4950j2 1650k2 |
Quadratic twists by: -4 8 -3 5 |