Atkin-Lehner |
2- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33856y |
Isogeny class |
Conductor |
33856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-8667136 = -1 · 214 · 232 |
Discriminant |
Eigenvalues |
2- 0 1 2 4 -1 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-92,-368] |
[a1,a2,a3,a4,a6] |
Generators |
[12:16:1] |
Generators of the group modulo torsion |
j |
-9936 |
j-invariant |
L |
6.6734440560988 |
L(r)(E,1)/r! |
Ω |
0.76639514452765 |
Real period |
R |
2.1768940290622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33856b1 8464l1 33856z1 |
Quadratic twists by: -4 8 -23 |