Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720k |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
12476160000000000 = 217 · 33 · 510 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 2 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-172332,27006256] |
[a1,a2,a3,a4,a6] |
Generators |
[-163:7125:1] |
Generators of the group modulo torsion |
j |
159936580505574/3525390625 |
j-invariant |
L |
6.6532372259132 |
L(r)(E,1)/r! |
Ω |
0.39979211176671 |
Real period |
R |
0.83208710603172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720db2 6840j2 54720d2 |
Quadratic twists by: -4 8 -3 |