Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720bk |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-16169103360 = -1 · 212 · 37 · 5 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,492,-4448] |
[a1,a2,a3,a4,a6] |
Generators |
[14:72:1] |
Generators of the group modulo torsion |
j |
4410944/5415 |
j-invariant |
L |
5.3727450242297 |
L(r)(E,1)/r! |
Ω |
0.66369261988792 |
Real period |
R |
1.0119038662096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998413 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720r2 27360n1 18240br2 |
Quadratic twists by: -4 8 -3 |