Atkin-Lehner |
2- 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
41328z |
Isogeny class |
Conductor |
41328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-2961713922048 = -1 · 219 · 39 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -3 2 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2349,-70254] |
[a1,a2,a3,a4,a6] |
Generators |
[25:64:1] |
Generators of the group modulo torsion |
j |
17779581/36736 |
j-invariant |
L |
5.2436926872706 |
L(r)(E,1)/r! |
Ω |
0.4176407321898 |
Real period |
R |
1.5694388391471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5166c1 41328bc1 |
Quadratic twists by: -4 -3 |