Atkin-Lehner |
2+ 3- 59- |
Signs for the Atkin-Lehner involutions |
Class |
11328f |
Isogeny class |
Conductor |
11328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
185597952 = 220 · 3 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 -4 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-193,-865] |
[a1,a2,a3,a4,a6] |
Generators |
[-285:280:27] |
Generators of the group modulo torsion |
j |
3048625/708 |
j-invariant |
L |
5.2729320671149 |
L(r)(E,1)/r! |
Ω |
1.3017682633667 |
Real period |
R |
4.0505919644082 |
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 |
11328j1 354a1 33984g1 |
Quadratic twists by: -4 8 -3 |