Atkin-Lehner |
2- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
41140p |
Isogeny class |
Conductor |
41140 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
8035156250000 = 24 · 512 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 0 5- 2 11- -1 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14597,664961] |
[a1,a2,a3,a4,a6] |
Generators |
[232:3125:1] |
Generators of the group modulo torsion |
j |
177667987597056/4150390625 |
j-invariant |
L |
6.6451536928161 |
L(r)(E,1)/r! |
Ω |
0.73704129100723 |
Real period |
R |
0.75133213632791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41140m1 |
Quadratic twists by: -11 |