Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
41328ch |
Isogeny class |
Conductor |
41328 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
1713954816 = 213 · 36 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 0 2 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-363,-1766] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:14:1] |
Generators of the group modulo torsion |
j |
1771561/574 |
j-invariant |
L |
6.350374943923 |
L(r)(E,1)/r! |
Ω |
1.1219318711567 |
Real period |
R |
2.8301072048936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5166bb1 4592j1 |
Quadratic twists by: -4 -3 |