Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
38160y |
Isogeny class |
Conductor |
38160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-407179005788160 = -1 · 230 · 33 · 5 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 2 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5853,955426] |
[a1,a2,a3,a4,a6] |
Generators |
[215:3486:1] |
Generators of the group modulo torsion |
j |
200509785477/3681812480 |
j-invariant |
L |
7.058649301885 |
L(r)(E,1)/r! |
Ω |
0.39689953770262 |
Real period |
R |
4.4461183696151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4770d1 38160s1 |
Quadratic twists by: -4 -3 |