Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
5610bi |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-77517928125000 = -1 · 23 · 33 · 58 · 11 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,8909,274025] |
[a1,a2,a3,a4,a6] |
Generators |
[44:845:1] |
Generators of the group modulo torsion |
j |
78200142092480591/77517928125000 |
j-invariant |
L |
6.3317226804166 |
L(r)(E,1)/r! |
Ω |
0.40234384474641 |
Real period |
R |
0.87428296897637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44880bf3 16830x4 28050j3 61710x3 |
Quadratic twists by: -4 -3 5 -11 |