Atkin-Lehner |
2+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
10450p |
Isogeny class |
Conductor |
10450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1971105125000000 = 26 · 59 · 112 · 194 |
Discriminant |
Eigenvalues |
2+ 2 5- 4 11- 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-32325,-677875] |
[a1,a2,a3,a4,a6] |
j |
1912626928997/1009205824 |
j-invariant |
L |
3.0222176614077 |
L(r)(E,1)/r! |
Ω |
0.37777720767596 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83600cn2 94050dz2 10450bg2 114950dk2 |
Quadratic twists by: -4 -3 5 -11 |