Atkin-Lehner |
2- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59584ct |
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 |
[-4:1:1] |
Generators of the group modulo torsion |
j |
-28672/19 |
j-invariant |
L |
5.5957914221078 |
L(r)(E,1)/r! |
Ω |
3.242912481764 |
Real period |
R |
1.7255450011066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000311 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584bk1 14896be1 59584ca1 |
Quadratic twists by: -4 8 -7 |