Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960cw |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-134671879618560 = -1 · 214 · 39 · 5 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12252,-764336] |
[a1,a2,a3,a4,a6] |
Generators |
[284:4320:1] |
Generators of the group modulo torsion |
j |
-17029316176/11275335 |
j-invariant |
L |
5.7325301294575 |
L(r)(E,1)/r! |
Ω |
0.22036149208434 |
Real period |
R |
3.2517762491124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960fn1 6120g1 16320be1 |
Quadratic twists by: -4 8 -3 |