Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720bh |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5820877209600 = 215 · 39 · 52 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9228,-320848] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:135:1] |
Generators of the group modulo torsion |
j |
3638052872/243675 |
j-invariant |
L |
5.4299685587394 |
L(r)(E,1)/r! |
Ω |
0.48915566992092 |
Real period |
R |
1.3875870434921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000139 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720p2 27360m2 18240v2 |
Quadratic twists by: -4 8 -3 |