Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720dc |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-4990464000 = -1 · 212 · 33 · 53 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,348,-2304] |
[a1,a2,a3,a4,a6] |
Generators |
[12:60:1] |
Generators of the group modulo torsion |
j |
42144192/45125 |
j-invariant |
L |
8.3139724789029 |
L(r)(E,1)/r! |
Ω |
0.73908030128568 |
Real period |
R |
0.93742322546516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999941 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720dh1 27360c1 54720ct1 |
Quadratic twists by: -4 8 -3 |