Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
55200c |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
642735000000000 = 29 · 35 · 510 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -6 -2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-60008,-5504988] |
[a1,a2,a3,a4,a6] |
Generators |
[-128:250:1] |
Generators of the group modulo torsion |
j |
2987228332808/80341875 |
j-invariant |
L |
3.0432559024733 |
L(r)(E,1)/r! |
Ω |
0.30553413230845 |
Real period |
R |
2.4901112353051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998402 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55200cl2 110400da2 11040o2 |
Quadratic twists by: -4 8 5 |