Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720bu |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
10348226150400 = 219 · 37 · 52 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 -6 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17292,861424] |
[a1,a2,a3,a4,a6] |
Generators |
[30:608:1] |
Generators of the group modulo torsion |
j |
2992209121/54150 |
j-invariant |
L |
4.9488024280512 |
L(r)(E,1)/r! |
Ω |
0.7234468176564 |
Real period |
R |
0.85507363971394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998946 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720ew2 1710f2 18240bb2 |
Quadratic twists by: -4 8 -3 |