Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640cc |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-6370344960 = -1 · 214 · 3 · 5 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,0,-3840] |
[a1,a2,a3,a4,a6] |
Generators |
[17:28:1] |
Generators of the group modulo torsion |
j |
-1/1555260 |
j-invariant |
L |
5.7965446010132 |
L(r)(E,1)/r! |
Ω |
0.6136413234119 |
Real period |
R |
2.3615361204753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830bg1 115920dk1 |
Quadratic twists by: -4 -3 |