Atkin-Lehner |
2+ 3- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
59472k |
Isogeny class |
Conductor |
59472 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
58269238272 = 210 · 39 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4611,119954] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:432:1] [49:-108:1] |
Generators of the group modulo torsion |
j |
14523844612/78057 |
j-invariant |
L |
8.538152003992 |
L(r)(E,1)/r! |
Ω |
1.1188371636612 |
Real period |
R |
0.95390914349512 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29736v1 19824a1 |
Quadratic twists by: -4 -3 |