Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664cs |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-266270929921769472 = -1 · 242 · 32 · 7 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6657,24829857] |
[a1,a2,a3,a4,a6] |
Generators |
[1623:65472:1] |
Generators of the group modulo torsion |
j |
-124475734657/1015742988288 |
j-invariant |
L |
6.2157898806491 |
L(r)(E,1)/r! |
Ω |
0.24826022661955 |
Real period |
R |
6.2593492776577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664bt1 10416bl1 124992gd1 |
Quadratic twists by: -4 8 -3 |