Atkin-Lehner |
2- 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
38160s |
Isogeny class |
Conductor |
38160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-296833495219568640 = -1 · 230 · 39 · 5 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,52677,-25796502] |
[a1,a2,a3,a4,a6] |
Generators |
[1906580:-4335983:8000] |
Generators of the group modulo torsion |
j |
200509785477/3681812480 |
j-invariant |
L |
6.0817001450859 |
L(r)(E,1)/r! |
Ω |
0.14961640253696 |
Real period |
R |
10.162154753689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4770t1 38160y1 |
Quadratic twists by: -4 -3 |