Atkin-Lehner |
2- 3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61710cb |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
352 |
Product of Tamagawa factors cp |
Δ |
41980043255040000 = 211 · 32 · 54 · 118 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22470005,40987710875] |
[a1,a2,a3,a4,a6] |
Generators |
[2723:-2572:1] |
Generators of the group modulo torsion |
j |
708234550511150304361/23696640000 |
j-invariant |
L |
8.8942087731717 |
L(r)(E,1)/r! |
Ω |
0.26620054711416 |
Real period |
R |
0.37967823633763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610g2 |
Quadratic twists by: -11 |