Atkin-Lehner |
2+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59584g |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-276294893830144 = -1 · 224 · 74 · 193 |
Discriminant |
Eigenvalues |
2+ 2 3 7+ 3 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10911,665057] |
[a1,a2,a3,a4,a6] |
Generators |
[104:1707:1] |
Generators of the group modulo torsion |
j |
228215687/438976 |
j-invariant |
L |
12.039405731596 |
L(r)(E,1)/r! |
Ω |
0.37891428910126 |
Real period |
R |
5.2955712667783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999813 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584cd2 1862a2 59584bo2 |
Quadratic twists by: -4 8 -7 |