Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550h |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
155541832031250000 = 24 · 39 · 512 · 7 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-373317,-85625659] |
[a1,a2,a3,a4,a6] |
Generators |
[734:5583:1] |
Generators of the group modulo torsion |
j |
18708817969323/505750000 |
j-invariant |
L |
5.060718196982 |
L(r)(E,1)/r! |
Ω |
0.19346252030325 |
Real period |
R |
3.2698311467787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53550ct2 10710p2 |
Quadratic twists by: -3 5 |