Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720di |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-853405356186316800 = -1 · 212 · 311 · 52 · 196 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,209292,-24845632] |
[a1,a2,a3,a4,a6] |
Generators |
[3184:181440:1] |
Generators of the group modulo torsion |
j |
339542483015744/285803727075 |
j-invariant |
L |
5.1801702068471 |
L(r)(E,1)/r! |
Ω |
0.15543561985004 |
Real period |
R |
4.1658487062162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720ds2 27360bd1 18240ca2 |
Quadratic twists by: -4 8 -3 |