Atkin-Lehner |
2+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59584bk |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6240 |
Modular degree for the optimal curve |
Δ |
-59584 = -1 · 26 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 2 3 7- -4 -6 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9,-13] |
[a1,a2,a3,a4,a6] |
Generators |
[27846:169273:729] |
Generators of the group modulo torsion |
j |
-28672/19 |
j-invariant |
L |
10.713660260893 |
L(r)(E,1)/r! |
Ω |
1.3263866440604 |
Real period |
R |
8.0773282124756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000162 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584ct1 931c1 59584k1 |
Quadratic twists by: -4 8 -7 |