Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
1650k |
Isogeny class |
Conductor |
1650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-332188876800000000 = -1 · 233 · 32 · 58 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- 5 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-286576,-65259202] |
[a1,a2,a3,a4,a6] |
j |
-6663170841705625/850403524608 |
j-invariant |
L |
1.8439397525362 |
L(r)(E,1)/r! |
Ω |
0.10244109736312 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13200bx2 52800bp2 4950bp2 1650n2 |
Quadratic twists by: -4 8 -3 5 |