Atkin-Lehner |
2- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
56350br |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-128256610316800 = -1 · 29 · 52 · 77 · 233 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -6 -1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7743,604057] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:149:1] [-52:957:1] |
Generators of the group modulo torsion |
j |
-17455277065/43606528 |
j-invariant |
L |
10.161983085186 |
L(r)(E,1)/r! |
Ω |
0.51826472617037 |
Real period |
R |
0.18155284591562 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56350x2 8050o2 |
Quadratic twists by: 5 -7 |