Atkin-Lehner |
2- 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
60320s |
Isogeny class |
Conductor |
60320 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
3016000000000 = 212 · 59 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 1 5- 3 4 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-53485,-4778117] |
[a1,a2,a3,a4,a6] |
Generators |
[-1062:125:8] |
Generators of the group modulo torsion |
j |
4131120704098816/736328125 |
j-invariant |
L |
9.3816300533785 |
L(r)(E,1)/r! |
Ω |
0.31393918248362 |
Real period |
R |
1.6601994867112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000274 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60320u1 120640cj1 |
Quadratic twists by: -4 8 |