Atkin-Lehner |
2- 3- 23+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
30222g |
Isogeny class |
Conductor |
30222 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
283608932576868 = 22 · 38 · 236 · 73 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 -2 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-123863,-16728181] |
[a1,a2,a3,a4,a6] |
Generators |
[407910:498859:1000] |
Generators of the group modulo torsion |
j |
288282102195061801/389038316292 |
j-invariant |
L |
10.10018792963 |
L(r)(E,1)/r! |
Ω |
0.25450693745722 |
Real period |
R |
9.9213286978943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10074o2 |
Quadratic twists by: -3 |