Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720do |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
32 |
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 |
[-146:1368:1] |
Generators of the group modulo torsion |
j |
298091207216/3525390625 |
j-invariant |
L |
3.9595297853945 |
L(r)(E,1)/r! |
Ω |
0.26686811957456 |
Real period |
R |
1.8546285107274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000144 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720be2 13680bv2 6080u2 |
Quadratic twists by: -4 8 -3 |