Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
4800ch |
Isogeny class |
Conductor |
4800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-5625000000 = -1 · 26 · 32 · 510 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,92,-3562] |
[a1,a2,a3,a4,a6] |
Generators |
[29:156:1] |
Generators of the group modulo torsion |
j |
85184/5625 |
j-invariant |
L |
4.0494774949858 |
L(r)(E,1)/r! |
Ω |
0.64497653948809 |
Real period |
R |
3.1392440244415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4800bn1 2400d4 14400eg1 960j1 |
Quadratic twists by: -4 8 -3 5 |