Atkin-Lehner |
2+ 5+ 29- 59- |
Signs for the Atkin-Lehner involutions |
Class |
85550h |
Isogeny class |
Conductor |
85550 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
287790200000000 = 29 · 58 · 293 · 59 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 -5 -5 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24167,1199741] |
[a1,a2,a3,a4,a6] |
Generators |
[49:338:1] |
Generators of the group modulo torsion |
j |
99903803019201/18418572800 |
j-invariant |
L |
3.0793801132425 |
L(r)(E,1)/r! |
Ω |
0.52099648196627 |
Real period |
R |
0.98509306085506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995302 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17110h1 |
Quadratic twists by: 5 |