Atkin-Lehner |
2- 3+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
45120cb |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
812160000 = 210 · 33 · 54 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1725,28125] |
[a1,a2,a3,a4,a6] |
Generators |
[5:140:1] |
Generators of the group modulo torsion |
j |
554680367104/793125 |
j-invariant |
L |
4.8991568927066 |
L(r)(E,1)/r! |
Ω |
1.5866544788992 |
Real period |
R |
1.5438638209675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45120bn1 11280f1 |
Quadratic twists by: -4 8 |