Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720be |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-42107040000000000 = -1 · 214 · 36 · 510 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,31812,-9628112] |
[a1,a2,a3,a4,a6] |
Generators |
[45705:891689:125] |
Generators of the group modulo torsion |
j |
298091207216/3525390625 |
j-invariant |
L |
5.6867865624252 |
L(r)(E,1)/r! |
Ω |
0.17772716476143 |
Real period |
R |
7.9993209957628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720do2 3420a2 6080j2 |
Quadratic twists by: -4 8 -3 |