Atkin-Lehner |
2- 3+ 5+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
122550bs |
Isogeny class |
Conductor |
122550 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
3564030394368000000 = 224 · 32 · 56 · 19 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-684388,-198376219] |
[a1,a2,a3,a4,a6] |
Generators |
[-555:3577:1] |
Generators of the group modulo torsion |
j |
2268876641163765625/228097945239552 |
j-invariant |
L |
11.868151143296 |
L(r)(E,1)/r! |
Ω |
0.16706225868548 |
Real period |
R |
2.9600120257494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000058229 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4902h3 |
Quadratic twists by: 5 |