Atkin-Lehner |
3+ 5+ 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
53025c |
Isogeny class |
Conductor |
53025 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1757281640625 = 32 · 58 · 72 · 1012 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4438,-96094] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:87:1] [-46:138:1] |
Generators of the group modulo torsion |
j |
618688004761/112466025 |
j-invariant |
L |
4.8020298409265 |
L(r)(E,1)/r! |
Ω |
0.59224780248499 |
Real period |
R |
4.054071472094 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999937 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10605j2 |
Quadratic twists by: 5 |