Atkin-Lehner |
2+ 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
73200d |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
54252180000000 = 28 · 36 · 57 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-486508,-130449488] |
[a1,a2,a3,a4,a6] |
Generators |
[877:10800:1] |
Generators of the group modulo torsion |
j |
3183717845125456/13563045 |
j-invariant |
L |
5.0534794145109 |
L(r)(E,1)/r! |
Ω |
0.18077030666612 |
Real period |
R |
3.494406456244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001624 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36600ba2 14640o2 |
Quadratic twists by: -4 5 |