Atkin-Lehner |
2- 3- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
59472y |
Isogeny class |
Conductor |
59472 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
8953884229828608 = 216 · 39 · 76 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-70635,5611034] |
[a1,a2,a3,a4,a6] |
Generators |
[-107:3456:1] |
Generators of the group modulo torsion |
j |
13052571603625/2998637712 |
j-invariant |
L |
5.6691712235692 |
L(r)(E,1)/r! |
Ω |
0.3873277864962 |
Real period |
R |
1.8295780154181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000171 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7434i1 19824r1 |
Quadratic twists by: -4 -3 |