Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
4312i |
Isogeny class |
Conductor |
4312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1792 |
Modular degree for the optimal curve |
Δ |
7102234832 = 24 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 2 0 7- 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1143,-13936] |
[a1,a2,a3,a4,a6] |
Generators |
[1155:3151:27] |
Generators of the group modulo torsion |
j |
256000/11 |
j-invariant |
L |
4.9183279674968 |
L(r)(E,1)/r! |
Ω |
0.82320455872334 |
Real period |
R |
5.9746121609487 |
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 |
8624j1 34496bs1 38808bd1 107800k1 |
Quadratic twists by: -4 8 -3 5 |